An arc length 6 cm of a circle subtends an angle θ at the center O of diameter 4 cm. Find the value of θ?

An arc length 6 cm of a circle subtends an angle θ at the center O of diameter 4 cm. Find the value of θ?

Explanation

Given arc length = 6 cm, diameter = 4 cm, so radius = 2 cm.

Arc length = radius × θ (in radians)

6 = 2 × θ

θ = 6/2 = 3 radians.