1992 AJHSME Problems/Problem 5
Problem
A circle of diameter is removed from a rectangle, as shown. Which whole number is closest to the area of the shaded region?
Solution
The area of the shaded region is the area of the circle subtracted from the area of the rectangle.
The diameter of the circle is , so the radius is and the area is
The rectangle obviously has area , so the area of the shaded region is . This is closest to .
See Also
1992 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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