Question

What is the angle subtended at the centre of a circle of radius 4 cm by an arc of length 2π cm. ​

Answer 1

Answer:

GIVEN:-

Length of an arc = 2πcm

Radius = 4cm.

TO FIND:-

The angle(θ) subtended at the centre of the circle.

SOLUTION:-

Length of an arc = θ/360(2πr)

2π = θ/360(2π)(4)

1 = θ/90

θ = 90°

Therefore, the angle subtended at the centre of the circle is 90°.

I HOPE IT HELPS....