Question

What is the approximate measure, in degrees, of the central angle of the circle whose radius is 15m and arc length is 10m?

38.22

40.25

42.99

46.37

Answer 1

38.22

Explanation:

Arc length = fraction of the circle * circumference

10 = fraction of the circle * 2*pi *15

10 = fraction of the circle * 30pi

Divide by 30 pi

10/30pi = fraction of the circle

1/3pi = fraction of the circle

A circle is 360 degrees

1/ (3*3.14) = x/360

1/9.42 = x/360

Multiply each side by 360

360/9.42 = x

38.21656051

Rounding to the nearest hundredth

38.22 degrees