Question

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre.
Find
1.the length of the arc
2.area of sector formed by the arc
3.the area of the segment made by this arc. ​

Answer 1

Step-by-step explanation:

Radius = 21 cm

Theta or Angle = 60°

• Length of arc = Angle/360 × 2πr

= 60/360 × 2 × 22/7 × 21

= 1/6 × 2 × 22 × 3

= 22 cm

• Area of sector = Angle/360 ×πr²

= 60/360 × 22/7 × 21 × 21

= 1/6 × 22 × 3 × 21

= 231 cm²