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

Answer:

Ф = ------------ = 7/5 radians

Step-by-step 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