Question

Find the length of the​ arc, s, on a circle of radius r intercepted by a central angle theta. Express the arc length in terms of pi. Then round your answer to two decimal places. ​Radius, r​ = 5 ​inches; Central​ angle, theta ​= 30 degrees

Answer 1

The length of arc is (10π/12)in or (0.833π)in

Explanation:

`(θ)/(360) * 2 \: π \: r`

r = 5in

θ = 30°

(30/360) × 2 × π × 5

= (1/12) × 10π

= 10π/12

= 0.833π (3s.f)

(Correct me if i am wrong)