A square with side length 1 is inscribed in a semicircle such that one side of the square is on the

CBSE Class 10 Answered

A square with side length 1 is inscribed in a semicircle such that one side of the square is on the

Asked by | 04 May, 2009, 08:07: AM

Expert Answer

Consider a square of length 1 inscribed in the semicircle of radius r

at A draw AC perpendicular to AB

triangles OAC and OPQ are similar

So OA/AC = OQ/OP

so OQ =1/2

OP= 5/2

Perimeter = 5/2+5

Answered by | 21 May, 2009, 11:37: AM

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