Problem:
A right triangle is inscribed in circle , and a right triangle is inscribed in circle . What is the ratio of the area of circle to the area of circle ?
Answer Choices:
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Solution:
The hypotenuse of a right triangle is a diameter of its circumscribed circle. Thus the diameter of circle is 5 , and the diameter of circle is 13 . Hence the requested ratio is
The problems on this page are the property of the MAA's American Mathematics Competitions