1950 AHSME Problems/Problem 8
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Problem
If the radius of a circle is increased , the area is increased:
Solution
Increasing by is the same as doubling the radius. If we let be the radius of the old circle, then the radius of the new circle is
Since the area of the circle is given by the formula the area of the new circle is The area is quadrupled, or increased by
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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