briannawyche5444 briannawyche5444

02-05-2018
Mathematics

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For a circle with a diameter of 6 meters what is the measurement of a central angle (in degrees) sun tended by an arc with a length of 5/2 pi meters

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dvikhan dvikhan

02-05-2018

The arc length is 10pi.

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02-05-2018

Arc length=5/2 pi
diameter=6m
Circumference=pi x d=pi x 6m= 6pi

Circumference/arc length=6pi/(5/2pie)=360degree/central angle

6pie x central angle=360degree x 5/2pie

Central angle=360degree x 5/2pie/6pie

Central angle=360degree x 5/12

Central angle=150degree

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