Inscribed rectangle

The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.

Correct result:

S =  79.06

Solution:

a=5  S1=πr2 r2=S1/π=216/π=68.755 r2=a2/4+b2/4 4r2=a2+b2 b2=4r2−a2=4⋅68.755−52 b=15.812  S=ab=5⋅15.812=79.06

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