What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?

Use 3.14 for π .

Round the answer to the hundredths place.

We can solve this for A

10 = radius * 3.14 * ( A / 180)

10 = 15 * 3.14 * (A / 180) multiply both sides by 180

1800 = 15* 3.14 * A divide both sides by 15* 3.14

1800 / [ 15 * 3.14 ] = A ≈ 38.22°