Question

Radius of a sector of a circle is 7 cm. If measure of arc of the sector is 

i. 30°

ii. 210° 

iii. three right angles, find the area of the sector in each case.

Answer 1

Given: Radius (r) = 7 cm 

To find: Area of the sector. 

i. Measure of the arc (θ) = 30°

∴ Area of the sector is 12.83 cm² . 

ii. Measure of the arc (θ) = 210°

∴ Area of the sector is 89.83 cm² .

iii. Measure of the arc (θ) = 3 right angle 

= 3 × 90° = 270°

∴ Area of the sector is 115.50 cm².