A geometry problem by prashant goyal
Geometry
Level
1
what is the maximum area of the rectangle inscribed in a circle of radius r?
3/2{ r }^{ 2 }
2/3{ r }^{ 2 }
2{ r }^{ 2 }
3{ r }^{ 2 }
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1 solution
The largest recrangle inscribed in a circle is a square. Thus the area is half of square of the length of the diagonal, which is 2 ( 2 r ) 2 = 2 r 2