A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle?

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asked Aug 5, 2023 154k views

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Ameen Maheen · Answer 1 · 2023-08-10T21:28:27+0000

c=2pir

arclength/circumference=centralangle/2piradians

14/2pir=6/2pi
7/pir=3/pi
times pir both sides
7=3r
divide by 3 both sides
7/3=r

well,
um
the answer is R=14/6

A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle?

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