Question

A circle with a radius of inches has a central angle of 0.25 radians that intercepts an arc of inches.

Answer 1

arc length = c* r where c = angle in radians and r = radius

= 0.25 * 4

= 1 inch

Answer 2

Explanation:

Given that there is a circle of .... inches with central angle 0.25 inches

by formula we have arc = radius *central angle in radians

The radii are given three options as 10,20,4 and corresponding arcs as

25,5, 16 inches.

By matching we find that 10(0.25) not equals 25

But 20(0.25) = 5 inches

Also 4(0.25) not equals 16 inches

Hence correct answer is radius = 20 and central arc = 5 inches