Math CentralQuandaries & Queries


Question from sridhar, a student:

A rectangle with perimeter 28 cm inscribed in a circle of radius 5 cm find the area ?


rectangle inscribed in a circle

If the perimeter of the rectangle is 28 cm then the length of BA plus the length of AD is 1/4 of 28 or 7 cm. Thus if one of them, say BA has length x cm then the other, AD had length 7 - x cm. Write down what Pythagoras' theorem tell you about the triangle ABC, and solve for x.


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