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Area of semicircle (Posted on 2012-12-27) Difficulty: 3 of 5
What is the maximum area of a semicircle inscribed in a square of side s?

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution answer Comment 3 of 3 |

The semicircle of radius r will will be tangent to two sides of the square of side s.
s will equal r + r/SQRT(2), thus
r will equal s*(2 - SQRT(2)).
The maximum area of a semicircle = (1/2) * pi*r2.
By substitution:
max. area of inscribed semicircle
= pi*[s2*(3 - 2*SQRT(2))]

  Posted by Dej Mar on 2012-12-28 18:49:44
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