Posted by !@#$%^&aak on Friday, February 15, 2013 at 1:07am.
Draw a diagram. If the angle subtending the chord is x,
sin(x/2) = 2.8/3.5 = 0.8, so x/2 = 0.927
The area of a segment is 1/2 r^2 (x-sinx)
So, the smaller segment has area 1/2 * 3.5^2 * (2*.927-.8) = 6.46
The area of the whole circle is pi * 3.5^2 = 38.48
so, the area of the larger segment is 32.02
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