A sector with an area of 11/2 pie cm has radius of 3 cm what is the central angle measure of a sector in degrees

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26-05-2020
Mathematics

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A sector with an area of 11/2 pie cm has radius of 3 cm what is the central angle measure of a sector in degrees

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alouissaint56 alouissaint56 · Answer 1 · 2020-05-26T05:24:10+02:00

alouissaint56 alouissaint56

26-05-2020

A= 1/360 m•pi r^2

11/2= 1/360 m• pi (3)^2

11/2= 1/360 m• pi • 9
Divide 360 by 9

11/2= 1/40 m pi

Cross multiply

440=2pi m

Divide both sides by 2pi

m= 70.02817 degrees round if necessary

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