A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is__ degrees

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asked Aug 10, 2018 6.8k views

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Lives · Answer 1 · 2018-08-14T01:46:17+0000

Arc Length = (radius)(angle in radians)
8pi = (4.5)(angle in radians)
angle in radians = (8pi)/(4.5)
1 radian = (180/pi) degrees
Hence (8pi)/(4.5) radians = (8pi/4.5)(180/pi) or 320 degrees

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is__ degrees

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