Geometry
posted by Courtney .
The measure of the central angle of a sector of a circle is 90degrees. The arc length of the sector is 3(pie) cm. What is the radius of the circle?

The circumference of the circle = 2 r pi
The measure of the sector 90 ° = ( 1 / 4 ) 2 r pi = r pi / 2
r pi / 2 = 3 pi Divide both sides by pi
r / 2 = 3 Multiply both sides by 2
r = 2 * 3
r = 6 cm 
Thanks so much!

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