Engineering Board Exam Reviewer · Areas of Plane Figures · hard

A square is inscribed in a semicircle of diameter 20 with one side lying on the diameter. Find the area of the square.

  1. 100
  2. 64
  3. 40
  4. 80

Answer

D. 80

Solution

Let the side be s. The top corners are at ≤ft( s2,s ) on the circle: ≤ft( s2 )2+s2=102 54s2=100 s2=80.

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