Geometry

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?

asked by Courtney
1. 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

posted by Bosnian
2. Thanks so much!

posted by Courtney
3. A circke has an arc length of 10 feet. The central angle formed os 60°. What is the area of the sector?

posted by Alondra

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