Question

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find
(i)the length of the arc
(ii)area of the sector formed by the arc. (Use $(\pi=\frac{22}{7})$)

Answer 1

Answer:

The length of the arc is 22 cm & Area of sector of a circle is 231 cm².

Step-by-step explanation:

Given :

Radius of circle,r = 21 cm

Angle subtended by an arc, θ = 60°

Length of the arc, l = (θ/360) × 2πr

l =  (60°/360°) × 2π × 21

l = 1/6 × 2 × 22/7 × 21

l = (44 × 3)/6

l = 22 cm

Length of the arc, l = 22 cm  

Area of the sector of a circle, A = (θ/360) × πr²

A = (60°/360°) × π ×21²

A = 1/6 × 22/7 × 21 × 21

A = (22 × 21× 3)/6

A = 11 × 21

A = 231 cm²

Area of sector of a circle ,A = 231 cm²

Hence, the length of the arc is 22 cm & Area of sector of a circle is 231 cm².

HOPE THIS ANSWER WILL HELP YOU….

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Answer 2

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