# Sample Test Paper for Class 10- Areas Related to Circle

What is Area Related to Circles

The area of a circle is the amount of space it occupies in two-dimensional space. It is calculated using the formula: A = πr^2, where A is the area, π (pi) is a mathematical constant approximately equal to 3.14 and r is the radius of the circle. The area of a circle can also be found using the diameter of the circle, using the formula: A = (π/4)d^2, where d is the diameter of the circle

Area of sector

A sector of a circle is a portion of the circle enclosed by two radii and an arc. The area of a sector can be calculated using the formula: A = (θ/360)πr^2, where A is the area of the sector, θ is the measure of the central angle in degrees, and r is the radius of the circle.
Alternatively, you can use the formula A = (n/360)πd^2 where n is the measure of the central angle in degrees, d is the diameter of the circle

How to find area of minor sector

A minor sector of a circle is a portion of the circle enclosed by two radii and an arc that is less than half of the full circle. To find the area of a minor sector, you can use the same formula as for a sector: A = (θ/360)πr^2, where A is the area of the minor sector, θ is the measure of the central angle in degrees, and r is the radius of the circle.
Alternatively, you can use the formula A = (n/360)πd^2 where n is the measure of the central angle in degrees and d is the diameter of the circle.
It is important to note that the measure of the central angle, θ or n must be less than 180 degrees for the sector to be considered a minor sector.

How we find area of major sector

A major sector of a circle is a portion of the circle enclosed by two radii and an arc that is greater than half of the full circle. To find the area of a major sector, you can use the same formula as for a sector: A = (θ/360)πr^2, where A is the area of the major sector, θ is the measure of the central angle in degrees, and r is the radius of the circle.
Alternatively, you can use the formula A = (n/360)πd^2 where n is the measure of the central angle in degrees, d is the diameter of the circle.
It is important to note that the measure of the central angle, θ or n must be greater than 180 degrees for the sector to be considered a major sector.

You can also find the area of a major sector by subtracting the area of the minor sector from the area of the full circle. The area of the full circle is πr^2 and the area of the minor sector can be calculated using the formula A = (θ/360)πr^2, where θ is less than 180 degrees.
Area of major sector = πr^2 - Area of minor sector.

Thu Jan 12, 2023

## Mock Test Series

1➤ Perimeter of the semicircular protractor is 36 cm find its diameter

ⓐ 10

ⓑ 14

ⓒ 12

ⓓ 16

Ans

Que 2

The the diameter of a circle whose area is equal to sum of area of two circles of diameter 16 cm and 12cm

ⓐ 10

ⓑ 40

ⓒ 20

ⓓ 15
Ans

Que 3

The radii of two circles of 10 cm and 8cm find the radius of the circle which has circumference equal to sum of circumference of the two circles

ⓐ 36

ⓑ 20

ⓒ 14

ⓓ 18
Ans

Que 4Circumference of a circle is 44 cm find the area of the circle
ⓐ 154

ⓑ 276

ⓒ 44

ⓓ 176
Ans

Que 5

Find area of sector of a circle of radius 10 cm which subtends an angle of 36° at centre

ⓐ 10π

ⓑ 100π

ⓒ 2πr

ⓓ None

Ans

Que 6