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?
1 answer:
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
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