Class 9 Exam > Class 9 Videos > L1 : Introduction, Circle dividing plance- Circles , Maths, Class 9
L1 : Introduction, Circle dividing plance- Circles , Maths, Class 9 Video Lecture
FAQs on L1 : Introduction, Circle dividing plance- Circles , Maths, Class 9 Video Lecture
| 1. What is the concept of circle dividing plane? |  |
Ans. Circle dividing plane is a concept in mathematics that involves dividing a plane into different regions using circles. This concept is used to study various properties and relationships of circles, such as tangents, secants, and chords.
| 2. How do circles relate to the concept of circle dividing plane? | |
Ans. Circles play a crucial role in the concept of circle dividing plane. They are used as tools to divide the plane into different regions. The positions and properties of these circles determine the number and nature of the regions formed.
| 3. What are some common properties and relationships of circles studied in the concept of circle dividing plane? | |
Ans. In the concept of circle dividing plane, several properties and relationships of circles are studied. Some common ones include the lengths of tangents, the angles formed between tangents and chords, the relationships between the lengths of chords and their corresponding arcs, and the intersections between circles and lines.
| 4. How is the concept of circle dividing plane applied in real-world situations? | |
Ans. The concept of circle dividing plane has various applications in real-world situations. For example, it can be used in architecture to design circular buildings or structures. It is also used in cartography to create maps that represent different regions using circles. In physics, the concept is applied to analyze the trajectory of objects moving in circular paths.
| 5. What are some important theorems and formulas related to circle dividing plane? | |
Ans. There are several important theorems and formulas related to circle dividing plane. Some of them include the Inscribed Angle Theorem, which states that the measure of an inscribed angle is half the measure of its intercepted arc. Another theorem is the Secant-Secant Theorem, which states that if two secant segments are drawn from the same point outside a circle, then the product of the lengths of one secant segment and its external segment is equal to the product of the lengths of the other secant segment and its external segment. Additionally, the formula for the circumference of a circle, C = 2πr, is also relevant in the concept of circle dividing plane.
Text Transcript from Video
hello friends this video on circles part
1 is brought to you by exam fear calm no
more fear from exam the topics to be
covered in this chapter are introduction
circles and it's related terms we'll
talk about diagonal subtended by a chord
at a point we'll also talk about the
perpendicular from the center to a God
what is God what is Center what a circle
we'll discuss both on these we will try
to draw a circle from three points you
see that the equal chords and their
distance from their centers they are
equal in C that will also see angle
subtended by an arc of the circle will
understand the concepts of cyclic
quadrilateral and finally we'll go for a
quick summary
let's start our chapter the definition
what our circle circles are nothing but
what circle is nothing but set of all
points in the plane that are at a given
distance from a given point this
distance is fixed and this distance is
called radius and giving point is also
fixed that is gone Center so you have
this pointer Center okay so from this
point if you draw points which are this
from the same distance from Center for
example the distance you is you need to
be 10 so this point is 10 centimeter
from Center this point is 10 centimeter
from vendor this point is since the
Newton all these points are 10
centimeter from them to all the possible
points which are actually 10 centimeter
from this point that is the center point
if we join all these points what you get
is correct because all these point which
you see which I have no implying are
nothing but the point which are 10
centimeter from this Center and
Oh from the center Oh each point our
dancing will be see this points are the
dancing leaders of this point at this
point this is awesome is it really from
our center you talk about anal point
this point this point about the 10
centimeter from that Center until you
fix a point and then point is call
center from that point you fix a
distance let's suppose densifies
individual six centimeter a centimeter
you want or even kill a bit row in any
unit as possible and you try to plot all
the points which are at a fixed distance
from this end up you will get a circle
okay so the question is why should we
treat center circle or something if you
know the question is why should be
serviced ever see the tires of the car
you see it is circular the buttons which
we use in our dress this color bangles
used by ladies are circular in the clock
if you notice any hand the minute hand
or second or our head completes one
rotation the path traced by any of the
hand is tape of second minutes and the
path traced by this hand so the path
traced by tip of this hand tape off his
hand you can actually the path tree is
whether tape of this handle it completes
one rotation in one our this will
actually be a circular path okay
you see the coin that the circular the
gap of any most of the bottle is I won't
say all bundles 99% of the bottle cap is
circular because it is easy to open it
and close it the football cricket ball
any ball which we use to play a circular
earth it's of a circular the Sun the
most of the planets are subjective so
most of the things around us are
actually circular and with this
background I think it is interesting to
study more about service see the earth
is actually your is fair but if you talk
about the two dimensional view of Earth
I discipline the ball is also spare but
you don't know what a two-dimensional
view of this small it is so little shape
so let's see how can we draw a circle -
other is very easy you take a compass
okay
and put the pencil and this length is
fixed this is the radius now you put
this point of the piece of paper this is
the pointed length of the compass put
this pointed leg of the compass on any
point a on the piece of paper and the
other leg which has pencil that is free
to move now you see this distance fixed
I can keep moving it they rotate they
did rotate so what you do is you have to
fix this pointed regular printer paper
and rotate the other link and complete
one revolution should be complete one
revolution what you get is a pretty easy
now you draw a circle is pretty easy
take come fast the pointed leg fix in
the other leg which has pencil attached
to it rotate it one rotation one
rotation one complete rotation do so in
this case if you see any point you take
in this circle which it will have same
distance from the pointing any point
will circle this distance loss we are
also we are mr. nozzoli okay so what do
you say close figure traced by the
pencil is called circle this close
figure what you get is circle and this
point a is called Center and is fixed
distance to the center and in your point
on a circle is called the radius three
terms here center circle and this is
fixed in this called radius fixed point
is call center and the set of points
which I mean the rows figure for my set
of points which are fixed distance from
this Center is called sorry or is it the
grocery cart raised by the pencil this
is to be so with this we can define the
circle as I think when collection of all
points in the plane which are at a fixed
distance from a fixed point let me write
one thing it really the definition of
circle will be collection of all points
in of lane has to be nothing in which R
and a fixed distance from a fixed point
in the is called serve okay nicely let's
understand some of the properties of the
circle man I actually draw a circle you
will see that the circle will actually
divide the plane on which it lies let
this be a in the blue or which you see
the plane and let's draw a circle right
not you see there are three parts the
circle they the red is actually the
circle
as you it has a bit the blue point is
outside the circle
Oh same circle the green one is insights
into the three point outside circle
circle inside circle the green one is
inside circle the red one is actually on
the circle and the blue and outside
circle correct
so the circle actually divides into
circle actually why it's a plane into
three parts so girl divides the plane
into one is outside a circle the circle
and inside a circle right so these two
part inside the circle and a circle
actually forms the circle you circle red
and green at reforms circle circular
region well say that the circle and
inside itself the new these two parts
these two parts form serve the reason we
talk about serve the easy we take would
read anything these two ones and this
blue one is actually is the third part
it is outside circle is a non circular
is maybe not like okay so outside circle
is also called exterior circle inside
circle is also called integration okay
now let us understand few more concepts
in circle we understand God
so let's take a knee to point of the
circle and join these two White's
example let's take these two points you
a new point circle and just join them
what you get this god they take any two
point in the circle and join them this
line segment is called God and if you
decide you can have infinite number of
god of various lengths for a given
circle you can have this car you can
create a God in this recording this all
got so many god wrinkly with is that
infinitum without God in name god of
various lengths and that is corner okay
so line segment definition way lines and
when joining any two point of the circle
you only need two points on circle that
is called God officer is calling God
okay if you want to find the lid the log
is Scott want to find the longest cord
the longest part will be something we
should pass through send them and this
cord is called this is the longest cord
and this is also God diameter special
thing for this line diameter also you
can have infinite number of everything
infinite number of line
Oh L shape but they will all have see
length you can draw one time you delay
this and you draw one day to be like
this so you can have a finite number of
times and all these will have same
length the length will be toys operators
you see any
this is our and this is our a familial
here way so actually the Bettles twice
three is to bother okay so God is any
line segment joining any two point in
the circle the longest cord is called
danger and it passes through Center
passes through send them and it has a
fixed length and this two are and you
can have infinite number of dying meet
up in the circle please pause this
understand the concept once again
diameter is the longest cord hey you can
have an ID number of God you'll have an
ID number of them eternal God can have
any length but diameter will have a
fixed length that length is two one and
it has to pass through center of the
circle
thank you visit our website exam fee
a.com to watch more and more qualities
we should be use you can also attempt
free online tests that are there in our
website you can also get access to tons
of free study materials and you can also
find free tutors and mentors in this
website thanks a lot for watching
1 is brought to you by exam fear calm no
more fear from exam the topics to be
covered in this chapter are introduction
circles and it's related terms we'll
talk about diagonal subtended by a chord
at a point we'll also talk about the
perpendicular from the center to a God
what is God what is Center what a circle
we'll discuss both on these we will try
to draw a circle from three points you
see that the equal chords and their
distance from their centers they are
equal in C that will also see angle
subtended by an arc of the circle will
understand the concepts of cyclic
quadrilateral and finally we'll go for a
quick summary
let's start our chapter the definition
what our circle circles are nothing but
what circle is nothing but set of all
points in the plane that are at a given
distance from a given point this
distance is fixed and this distance is
called radius and giving point is also
fixed that is gone Center so you have
this pointer Center okay so from this
point if you draw points which are this
from the same distance from Center for
example the distance you is you need to
be 10 so this point is 10 centimeter
from Center this point is 10 centimeter
from vendor this point is since the
Newton all these points are 10
centimeter from them to all the possible
points which are actually 10 centimeter
from this point that is the center point
if we join all these points what you get
is correct because all these point which
you see which I have no implying are
nothing but the point which are 10
centimeter from this Center and
Oh from the center Oh each point our
dancing will be see this points are the
dancing leaders of this point at this
point this is awesome is it really from
our center you talk about anal point
this point this point about the 10
centimeter from that Center until you
fix a point and then point is call
center from that point you fix a
distance let's suppose densifies
individual six centimeter a centimeter
you want or even kill a bit row in any
unit as possible and you try to plot all
the points which are at a fixed distance
from this end up you will get a circle
okay so the question is why should we
treat center circle or something if you
know the question is why should be
serviced ever see the tires of the car
you see it is circular the buttons which
we use in our dress this color bangles
used by ladies are circular in the clock
if you notice any hand the minute hand
or second or our head completes one
rotation the path traced by any of the
hand is tape of second minutes and the
path traced by this hand so the path
traced by tip of this hand tape off his
hand you can actually the path tree is
whether tape of this handle it completes
one rotation in one our this will
actually be a circular path okay
you see the coin that the circular the
gap of any most of the bottle is I won't
say all bundles 99% of the bottle cap is
circular because it is easy to open it
and close it the football cricket ball
any ball which we use to play a circular
earth it's of a circular the Sun the
most of the planets are subjective so
most of the things around us are
actually circular and with this
background I think it is interesting to
study more about service see the earth
is actually your is fair but if you talk
about the two dimensional view of Earth
I discipline the ball is also spare but
you don't know what a two-dimensional
view of this small it is so little shape
so let's see how can we draw a circle -
other is very easy you take a compass
okay
and put the pencil and this length is
fixed this is the radius now you put
this point of the piece of paper this is
the pointed length of the compass put
this pointed leg of the compass on any
point a on the piece of paper and the
other leg which has pencil that is free
to move now you see this distance fixed
I can keep moving it they rotate they
did rotate so what you do is you have to
fix this pointed regular printer paper
and rotate the other link and complete
one revolution should be complete one
revolution what you get is a pretty easy
now you draw a circle is pretty easy
take come fast the pointed leg fix in
the other leg which has pencil attached
to it rotate it one rotation one
rotation one complete rotation do so in
this case if you see any point you take
in this circle which it will have same
distance from the pointing any point
will circle this distance loss we are
also we are mr. nozzoli okay so what do
you say close figure traced by the
pencil is called circle this close
figure what you get is circle and this
point a is called Center and is fixed
distance to the center and in your point
on a circle is called the radius three
terms here center circle and this is
fixed in this called radius fixed point
is call center and the set of points
which I mean the rows figure for my set
of points which are fixed distance from
this Center is called sorry or is it the
grocery cart raised by the pencil this
is to be so with this we can define the
circle as I think when collection of all
points in the plane which are at a fixed
distance from a fixed point let me write
one thing it really the definition of
circle will be collection of all points
in of lane has to be nothing in which R
and a fixed distance from a fixed point
in the is called serve okay nicely let's
understand some of the properties of the
circle man I actually draw a circle you
will see that the circle will actually
divide the plane on which it lies let
this be a in the blue or which you see
the plane and let's draw a circle right
not you see there are three parts the
circle they the red is actually the
circle
as you it has a bit the blue point is
outside the circle
Oh same circle the green one is insights
into the three point outside circle
circle inside circle the green one is
inside circle the red one is actually on
the circle and the blue and outside
circle correct
so the circle actually divides into
circle actually why it's a plane into
three parts so girl divides the plane
into one is outside a circle the circle
and inside a circle right so these two
part inside the circle and a circle
actually forms the circle you circle red
and green at reforms circle circular
region well say that the circle and
inside itself the new these two parts
these two parts form serve the reason we
talk about serve the easy we take would
read anything these two ones and this
blue one is actually is the third part
it is outside circle is a non circular
is maybe not like okay so outside circle
is also called exterior circle inside
circle is also called integration okay
now let us understand few more concepts
in circle we understand God
so let's take a knee to point of the
circle and join these two White's
example let's take these two points you
a new point circle and just join them
what you get this god they take any two
point in the circle and join them this
line segment is called God and if you
decide you can have infinite number of
god of various lengths for a given
circle you can have this car you can
create a God in this recording this all
got so many god wrinkly with is that
infinitum without God in name god of
various lengths and that is corner okay
so line segment definition way lines and
when joining any two point of the circle
you only need two points on circle that
is called God officer is calling God
okay if you want to find the lid the log
is Scott want to find the longest cord
the longest part will be something we
should pass through send them and this
cord is called this is the longest cord
and this is also God diameter special
thing for this line diameter also you
can have infinite number of everything
infinite number of line
Oh L shape but they will all have see
length you can draw one time you delay
this and you draw one day to be like
this so you can have a finite number of
times and all these will have same
length the length will be toys operators
you see any
this is our and this is our a familial
here way so actually the Bettles twice
three is to bother okay so God is any
line segment joining any two point in
the circle the longest cord is called
danger and it passes through Center
passes through send them and it has a
fixed length and this two are and you
can have infinite number of dying meet
up in the circle please pause this
understand the concept once again
diameter is the longest cord hey you can
have an ID number of God you'll have an
ID number of them eternal God can have
any length but diameter will have a
fixed length that length is two one and
it has to pass through center of the
circle
thank you visit our website exam fee
a.com to watch more and more qualities
we should be use you can also attempt
free online tests that are there in our
website you can also get access to tons
of free study materials and you can also
find free tutors and mentors in this
website thanks a lot for watching
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Oct 23, 2025
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