What percentage of the sector OAB is occupied by the inner circle: 50%, 69%, 75% or 81% Could someone please show me a way to find it out?
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Originally Posted by xwrathbringerx What percentage of the sector OAB is occupied by the inner circle: 50%, 69%, 75% or 81% Could someone please show me a way to find it out? 1. Calculate the radius r of the inner circle: If R is the radius of the quarter circle then The negative solution isn't very plausible here. 2. The ratio you are looking for is:
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Originally Posted by xwrathbringerx
The negative solution isn't very plausible here.
^2}{\dfrac14 \pi R^2} = \dfrac{\pi R^2(-1+ \sqrt{2})^2}{\dfrac14 \pi R^2} = 4(1-\sqrt{2})^2 \approx 0.68629...)
