Question

Find the length of the arc in terms of pi

mAB 90 degrees
24
C A B
AB=[?]pi
Hint: the arc is only part of the circle.
Please help I’m desperate

Answer 1

As the hint says, the arc is only part of the whole circle. More specifically, it is 90 degrees of the circle (90 / 360 = 1 / 4) or 1/4 of the circumference.

Circumference = pi x diameter

C = pi x 24 = 24pi

1/4 of C = 6pi

Answer: AB = 6pi

Hope this helps!