EASY
10th CBSE
IMPORTANT
Earn 100

A chord of a circle of radius 20 cm sub tends an angle of 90°at the center. Find the area of the corresponding major segment of the circle (Use π=3.14).

Important Questions on Areas Related to Circles

MEDIUM
10th CBSE
IMPORTANT

The radius of a circle with centre O is 5 cm. Two radii OA and OB are drawn at right angles to each other. Find the areas of the segments made by the chord AB(π=3.14). If the area of the minor segment is p cm2, then find the value of p.

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HARD
10th CBSE
IMPORTANT

AB is the diameter of a circle, centre O, C is a point on the circumference such that COB=θ. The area of the minor segment cut off by AC is equal to twice the area of the sector BOC. Prove that  sinθ2cosθ2=π 12-θ120.
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MEDIUM
10th CBSE
IMPORTANT

A chord of a circle subtends an angle of θ at the centre of the circle. The area of the minor segment cut off by the chord is one eighth of the area of the circle. Prove that 8 sinθ2cosθ2+π=πθ45°.

MEDIUM
10th CBSE
IMPORTANT

A plot is in the form of a rectangle ABCD having a semi-circle on BC as shown in the following figure. If AB=60 m and BC=28 m, find the area of the plot.

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MEDIUM
10th CBSE
IMPORTANT

A play ground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground. (Take π=227)

MEDIUM
10th CBSE
IMPORTANT

Find the area of the circle in which a square of area 64 cm2 is inscribed. [Use π=3.14]

MEDIUM
10th CBSE
IMPORTANT

A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.

MEDIUM
10th CBSE
IMPORTANT

In figure, PQRS is a square of side 4 cm. Find the area of the shaded square.
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