Question

Find the length of the arc, s, on a circle of radius r intercepted by a central angle θ. Express the arc length in terms of π. Then round your answer to two decimal places Radius, r=17 inches, Central angle, θ=40∘ inches (Simplity your answer. Type your answer in terms of π. Use integers of fractions for any numbers in the expression.)

Answer 1

Explanation:

the full arc of a circle (360°) is its circumference

2pi×r

a part arc defined by a central angle is then

2pi×r × angle/360

in our case

2pi×17 × 40/360 = 2pi×17 × 1/9 = pi×34/9 in

the arc is

34/9 × pi in

in terms of pi : 34/9