Question

If the radius of a circle with center 0 is 15.5, and the measure of angle AOB is 90, what is the length of arc AB?

Answer 1

The circumference of the circle is found using the formula C = 2 PI r

Circumference = 2 *PI * 15.5 = 31pi

The angle is 90 degrees, which is 1/4 of a complete circle ( 360 degrees).

The arc length would be 1/4 of the circumference:

Arc length = 31pi / 4 = 7.75PI