Question

What is the arc length of an arc with radius 15 inches and central angle 30°? Show your work.

Answer:

Answer 1

Explanation:

the arc length of a while circle of 360° is the circumference of the circle, which is

2×pi×r

now, our radius r is 15 in.

and we are not dealing with the whole circle of 360° but only with a fraction of that : 30° out of the 360°

so, the arc length is

2×pi×15×30/360 = 2×pi×15×1/12 = pi×15/6 = pi×5/2 =

= 7.853981634... in