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

Step-by-step explanation:

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