Find the ratio of the area of circle to the area of sector.

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Complete question:
A circle is inscribed in a sector that measures at 120º, as shown in this diagram.
Find the ratio of the area of circle to the area of sector.

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generally R = (1 + 1/sin(alpha/2)), A(Segment) / A(inner circle) = alpha/2pi * R²/r²

derhausfreund
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Long and complicated procedure.
R= r+ r/ sin60. Ratio would be (1+ 1.155)^2

isg