A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which

equation gives the measure of the central angle, o?

theta = 5/7

theta = 7/5

theta = 7 + 5

theta = 7 • 5

A circle with radius of 5 feet would have a circumference of

(2*5*PI) = 31.4159265359

This would mean the 7 foot arc would be (7 / 31.4159265359) or 0.2228169203 of the circle.

0.2228169203 * 360 = 80.2140913183 degrees

80.2140913183 degrees = 1.4 radians

and 7/5 = 1.4

Therefore the answer is the second one 7 / 5