1960 AHSME Problems/Problem 6
Problem
The circumference of a circle is inches. The side of a square inscribed in this circle, expressed in inches, is:
Solution
First, find the diameter of the circle. Plug in the circumference for the formula to solve for . Since all of an inscribed square's vertices touch the circle, and one of the angles of the circle is , the square's diagonal is the diameter of the circle.
From the Pythagorean theorem (or 45-45-90 triangles), the side length is inches, which is answer choice .
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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