Question

A circle has a diameter of 14cm. find the arc length if the central angle is 50°. Round to the nearest tenth.

Answer 1

`s = 6.1~cm`

Explanation:

`s = (n)/(360^\circ) * \pi d`

`s = (50^\circ)/(360^\circ) * \pi * 14~cm`

`s = 6.1~cm`

Answer 2

12.2 cm

Explanation:

Since the circle has a diameter of 14cm, its radius is 7cm.

Using the formula s=rθ where s is the arc length of the circle, r is the radius of the circle, and θ is the central angle of the circle in radians, then the arc length is s = (14)(50°)(π/180) = (14)(50π/180) = 700π/180 ≈ 12.2 cm