Acircle has a radius of 7.5 centimeters and a central angle aob that measures 90°. what is the length of the intercepted arc ab?

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)

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

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