Question

A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90°. What is the length of the intercepted arc AB?

A. 11.8 cm
B. 5.9 cm
C. 3.8 cm
D. 1.9 cm

Answer 1

Arc length = radius* angle theta (in radians)

So angle 90 degree = 90*pi/180 radians= pi/2 radians

So arc length = 7.5* pi/2 cm = 11.8cm

So option A is correct.