An arc of a circle measures 80 degrees and the length of 88pie cm. what is the diameter?

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16-05-2014
Mathematics

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An arc of a circle measures 80 degrees and the length of 88pie cm. what is the diameter?

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Ryan2 Ryan2 · Answer 1 · 2014-05-17T01:14:05-04:00

Ryan2 Ryan2

17-05-2014

If 80° ------> 88π cm
Then 360° ------> x cm

So:

x = (88π x 360) ÷ 80
x = 396 π (lenght of the circle)

The relationship of Lenght of circle and its diameter is:

L = d .π

replacing L:
396 π = d.π ----> d = 396 cm <---- here is your answer

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