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Grade 10 
Areas Related to
Circles
Page 2


Grade 10 
Areas Related to
Circles
Areas Related to Circles
A circle is a two-dimensional shape made of points that are all
the same distance from the center.
Circumference = 2pr
Diameter = 2r
Area = pr 2
Diameter is
distance from
Chord
Diameter
one side of circle
to the other,
going through
the center
T a n g e n t
Circumference
Radius
Radius is
distance from
Secant
center to circle
Page 3


Grade 10 
Areas Related to
Circles
Areas Related to Circles
A circle is a two-dimensional shape made of points that are all
the same distance from the center.
Circumference = 2pr
Diameter = 2r
Area = pr 2
Diameter is
distance from
Chord
Diameter
one side of circle
to the other,
going through
the center
T a n g e n t
Circumference
Radius
Radius is
distance from
Secant
center to circle
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FAQs on Points to Remember: Areas Related to Circles - Mathematics (Maths) Class 10

1. What is the formula for the area of a circle?
Ans. The formula for the area of a circle is given by \( A = \pi r^2 \), where \( A \) is the area and \( r \) is the radius of the circle.
2. How do you calculate the circumference of a circle?
Ans. The circumference of a circle can be calculated using the formula \( C = 2\pi r \), where \( C \) is the circumference and \( r \) is the radius.
3. What is the relationship between the radius and diameter of a circle?
Ans. The diameter of a circle is twice the length of the radius. This can be expressed with the formula \( d = 2r \), where \( d \) is the diameter and \( r \) is the radius.
4. How do you find the area of a sector of a circle?
Ans. The area of a sector of a circle can be found using the formula \( A = \frac{\theta}{360} \times \pi r^2 \), where \( A \) is the area of the sector, \( \theta \) is the angle in degrees, and \( r \) is the radius.
5. Can you explain how to convert between the area of a circle and its radius?
Ans. To convert from the area of a circle to its radius, you can rearrange the area formula. Starting with \( A = \pi r^2 \), you can solve for \( r \) by using \( r = \sqrt{\frac{A}{\pi}} \).
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