A circular arc of length 17 feet subtends a central angle of 25 degrees. Find the radius of the circle in feet.

Answer 1

We have

17 ft

The central angle 25° is only 25/360 of the whole 360° of the circle, which means that

17ft is only 25/360 of the whole circumference (C = 2πr) of the circle.

So we write

17 = 25/360 × 2πr = 5πr/36

and solve for r.

Answer 2

(25/360)(2)πr = 17

Can you solve for r and answer?

Answer 3

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