Question

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, q?
e = 5/7
e=7/5
e=7+5
e=7.5

Answer 1

Ф = ------------ = 7/5 radians

Explanation:

"e" is inappropriate format here. Use Ф or α or similiar character for central angle.

Here, (arc length) = (radius)(central angle), or s = rФ, and so:

(central angle) = Ф = (arc length) / (radius)

7 ft

Here, Ф = ------------ = 7/5 radians

5 ft