SOLUTION: The area of the largest rectangle inscribed in a circle of radius 5 cm is a)25 cm^2 b)50 cm^2 c) 100 cm^2 d)10 square root(2)cm^2 e) 20 square root(2)cm^2

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The circle has a diameter of 10 cm. Let x= length of the side of the square. Draw the circle of diameter 10, showing the square with side of x inside the circle. You will see a right triangle, so by Theorem of Pythagoras





Now this looks ugly, but remember that all you need to find is the AREA of the square. The area is , so this is the answer to the question:

Area = =50 sq cm.

Dr. Robert J. Rapalje