find angle with a given radius of 22 and a arc length of 55

Question

answer in radians.

Answer 1

Given

Radius ( r ) = 22

Arc length ( s)  = 55

The formula is s = r θ

Where s is the arc length , r is the circle radius , and θ is the angle in RADIANS.

Substitute the radius and arc length values in s = r θ.

55 = 22 *  θ

55 / 22 = θ

⇒ θ = 55 / 22 = 5 / 2 = 2 . 5 radians.

Therefore θ = 2 . 5 radians.

Solution : Angle ( θ ) = 2 . 5 radians.