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 ​= 170 degrees

Answer 1

s = rθ = (5 in)(170°×π/180°) = 85π/18 in ≈ 14.84 in

Answer 2

• 85π/18 in
• 14.84 in

Explanation:

The given arc length relation requires the central angle be expressed in radians. There are π radians in 180°.

s = rθ = (5 in)(170°×π/180°) = 85π/18 in ≈ 14.84 in