1970 AHSME Problems/Problem 2
Problem
A square and a circle have equal perimeters. The ratio of the area of the circle to the are of the square is
Solution
Let's say the circle has a circumference ( or perimeter of ). Since the perimeter of the square is the same as the perimeter of the circle, the side length of the square is . That means that the area of the square is . The area of the circle is . So the area of the circle over the area of the square is
See also
1970 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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