Example: Area Related to Circles- 4 Video Lecture - Class 10

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related to circles part 7 is brought to
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mysticum example in a circle of radius
21 centimeter an arc subtends 60 degree
you define length the angle formed by
the art and area of signal so that is
also the first this is my pleasure stare
great is the sweetening one centimeter
and this angle subtended is 16 you
divide the length of the first thing and
when I say the length of Earth I mean
the length of my troth yes I told that
when major or minor is not specified I'm
talking about minor arc length from
minor R is nothing but our length of our
do you think but kita by 3/16 to by a
small maybe dou theta is equal to 60
degree correct by three-sixty into PI pi
I think you put me to the by 7 and our
is 21 so if you saw this this is cancel
366 this spot if it is 22 centimeter why
because then it is a centimeter talking
about the length so let this to
determine the first part is second is
area of sector form by now this is the e
be able to find the Millennium so area
we know in your sector minus 1 theta by
three-sixty into PI R square this
formula we know this is nothing but 60
by three-sixty into PI it's 27 all is
2121 same thing 73 cancer six to six
cancer 11 to 21 so what is so 11 you
2012 is the seed of the cancer business
since it is area and we're talking about
centimeter so it is centimeter square
please note you need is very crucial
area needing to square length same here
so this part of the house of that now we
have to find the area of the segment
formed by the corresponding content is
you define this video segment in here so
in your secret is nothing but area of
sector - in your Michael alright this
let me give this name e so area of
triangle area of sector of you already
know is 231 informant we have divided
the area of remindin since this is 60
degree right and this is over 21 and
both what the angle will be equal we
I've got both the sides are you can
write this is suppose theta right so if
you solve this this also becomes 16 why
because if you see 60 degree was theta
plus theta is equal to 180 degree or
they get 3 times you get into 180 minus
16 is 1 will be read all again see does
that means all the angles are 60 degree
so it is a nice equilateral nothing
beside the final so we can find the area
so we'll say area triangle oh it is
nothing but root 3 by 4 sided square
root 3 by 4 into side square side is 21
21 into 21 this is the area of the
triangle and if you saw this this is
moving but 441 by 4 this is the area of
mine it's not a defined area of segment
area of segment
here your segment as I told is nothing
but area of sector area of sector sector
or a PV minus P of triangle wave so we
have area of sector OE between district
ready one sitting describe you 31
centimeter square minus area of triangle
away away we go 41 by 4 and then it will
be centimeter supply and that is mines
area of segment form by the
corresponding orders not even - 444 who
drinks well let's take one more example
the core of a circle of the radius 15
centimeter the students please
individual substances 68 offender find
the area of corresponding minor and
major segment of them so this question
is simply the last which we have solved
here you defined this area of minor
segment and missing so this segment we
have done the last example also we have
to find it your sector and then you
define the area of crime that the
subtract it will fit in your signal so
this is 60 and the sides are seen it all
so this will be theta this will be theta
would seen equal angle means you saw
this the 60 plus theta plus theta is per
to 180 degree you'll find three die of a
sweet so this is actually and this is
obviously equal to remind finding area
is easy for this triangle and finding
any other sector is also easy 60 by
three-sixty into PI R square supplied
this you get a view of this segment so
once we have this area the minor segment
area of major segment is nothing but
here your whole sector - the segment
area here the in your major all right
let us solve this so they'll see this so
area of minor sector
let's get the name Oh VP and is the key
area of minor sector oh right this isn't
gonna do it's good to see Tom that is
six feet by sixty degree in new PI R
square this 3.14 is a PI RS completing
to solve this we get 1 1 7 point 7 is 5
centimeter understand the idea of the
minor sector
this is phylidia over 80 now area of
triangle oh that is something she's fine
right let's try it so this becomes 4
into side square that is convenient you
saw this this comes out to be ninety
seven point three one individual find
the area of the segment Theory off
segment that is minor segment TV this
will be area of sick o TV does minor
sector minus PD of triangle OAB you saw
that the spino value is one one seven
point seven five and this is ninety
seven point three one five so there's
this comes out to be twenty point zero
three seven five centimeter square so
this is my area of minor segment now to
find the area of medicine so area of
major segment major segment is the main
concept here is equal to nothing but
area of circle - area of minor seventy
you see here
area of circle the whole circle area -
if you - area APB whatever get any QV
and that is what behavior measure second
this is nothing but pi there is three
point one who into R squared T - area of
minor segment it is maintain point four
three seven five you solve this this
becomes seven zero six point five minus
twenty point four three seven five and
swabs propagate six eighty six point
zero six five centimeter square and that
is nice very sipan's understand the
concept minor segment area we have seen
in the past example Watsu that's the
concern here is area of major signatures
of liquid in your whole circle - area of
this minor segment you get the area of
major segment this is major and this is
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