Question

Find the angle which an arc of length 22 cm

subtends at the centre of a circle of radius 15 cm
[Take = 221(a) 70°(b) 84° (c) 96° (d) 156° an​

Answer 1

Answer: B.) 84°

Explanation:

Given the following :

Radius of circle(r) = 15cm

π = 22/7

Length of arc (L) = 22cm

The length of an arc is calculated using :

Length (L) = (Θ / 360) × 2πr

22 = (Θ / 360) × 2 × 22/7 × 15

22 = Θ × 660 / (360 * 7)

22 = Θ × 660 / 2520

Θ × 660 = 22 × 2520

Θ = 55440 / 660

Θ = 84°