Difference between revisions of "2010 AMC 10A Problems/Problem 5"
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− | If the circumference of a circle is <math>24\pi</math>, the radius would be <math>12</math>. Since the area of a circle is <math>\pi r^2</math>, the area is <math>144\pi</math>. | + | If the circumference of a circle is <math>24\pi</math>, the radius would be <math>12</math>. Since the area of a circle is <math>\pi r^2</math>, the area is <math>144\pi</math>. The answer is <math>\boxed{E}</math>. |
Revision as of 15:46, 20 December 2010
Problem 5
The area of a circle whose circumference is is . What is the value of ?
Solution
If the circumference of a circle is , the radius would be . Since the area of a circle is , the area is . The answer is .