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?

Answer 1

Arc length = radius * central angle (radians)
Arc length = 7.5 * PI / 2
Arc length = 11.780972451 centimeters

Answer 2

let a be the arc length...

a/(2πr)=90/360

a/(2πr)=1/4

a=πr/2 and r=7.5 so

a=3.75π cm

a≈11.78 cm (to the nearest one hundredth of a cm)