1951 AHSME Problems/Problem 48
Problem
The area of a square inscribed in a semicircle is to the area of the square inscribed in the entire circle as:
Solution
Let the radius of the circle be . Let be the side length of the square inscribed in the semicircle and be the side length of the square inscribed in the entire circle. For the square in the semicircle, we have . For the square in the circle, we have .
Therefore,
See Also
1951 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 47 |
Followed by Problem 49 | |
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