If an arc of 45 degrees on circle A has the same length as an arc of 20 degrees on circle B, then what is the ratio of the area of circle A to the area of circle B? Express your answer as a common fraction.

Guest Sep 10, 2021

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If an arc of 45 degrees on circle A has the same length as an arc of 20 degrees on circle B, then what is the ratio of the area of circle A to the area of circle B? Express your answer as a common fraction.

Circle A: r = 4 arc length = pi

Circle B: 20 / pi = 360 / x x = 18pi radius R = 9

A / B = (4^{2}pi) / (9^{2}pi) = 16 / 81

Guest Sep 10, 2021