Areas Related to Circles

Area of the segment of a circle is $24 {\mathrm{cm}}^2$, its radius is $7 \mathrm{cm}$ and an arc is subtended at an angle $60°$. Find the area of the sector.

The radius of a circle is $21 \mathrm{cm}$, an arc subtended at an angle $120°$. Find the area of the sector of a circle.

Calculate the area of the major segment of a circle if the area of its minor segment is $54 sq. units$ and the radius is $7 units$. Use $\mathrm{\pi }=\frac{22}{7}$

The radius of a circle is $14 \mathrm{cm}$, an arc subtended at an angle $60°$. Find the area of the segment.

The radius of a circle is $7 \mathrm{cm}$, an arc subtended at an angle $60°$. Find the area of the segment.

Cotyledons are also called-

A square of side $25 cm$ is divided into $n^2$ equal small squares. If circles are drawn in each of these small squares touching all the sides, then find the area of the given square not covered by these circles.

Find area of shaded region, if PQ = 24cm, PR = 7cm and O is the centre of the circle.

In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle. Find the area of the shaded part.

Equilateral triangle OAB of side 12 cm and circle of radius 6 cm. O is the centre of the circle. Find area of shaded region.

ABCD is a square with side 14cm. A, B, C, D are the centres of the respective circles. Find the area of shaded region.

The distance between the two inner parallel line segments is 60m and the line segments are 106m and the track is 10m wide. Find the area of the track.

AB and CD are two diameters of a circle, perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm. Find the area of the shaded region.

The area of an equilateral triangle ABC is 17320.5 $c{m}^2$ with each vertex of triangle as centre, a circle is draw with radius equal to half the length of side of the triangle. Find the area of shaded region.

On a square handkerchief, nine circular designs each of radius 7cm are made. Find the area of remaining portion of handkerchief.

OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm. Find the area of shaded portion.

ABC is a quadrant of a circle of radius 14cm and a semicircle is draw with BC as diameter. Find area of shaded region

A horse is tied to a peg at one corner of a squares shaped grass field of side 15m by means of a 5m long rope. Find the increase in grazing area it the rope were 10m long instead of 5m.

A brooch is made with silver wire in the form of a circle with diameter 35mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors. Find the total length of silver wire.

A round table cover has six equal designs as shown in diagram. If the radius of the cover is 28 cm. Find the cost of making the design at 0.35 per $c{m}^2$