1997 AJHSME Problems/Problem 7
Problem
The area of the smallest square that will contain a circle of radius 4 is
Solution
Draw a square circumscribed around the circle. (Alternately, the circle is inscribed in the square.) If the circle has radius , it has diameter . Two of the diameters of the circle will run parallel to the sides of the square. Thus, the smallest square that contains it has side length , and area .
See also
1997 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All AJHSME/AMC 8 Problems and Solutions |
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