Hi VJesus12,
We're told that a circle has a circumference of 14Ï€. We're asked for the AREA of this circle. This question involves a couple of standard Geometry formulas, so you just have to write the formulas down and work through a couple of math steps to get the answer.
Circumference = 2(Ï€)(R) = 14Ï€
R = 7
Now that we have the radius, we just have to plug it into the Area formula:
Area = (Ï€)(R^2) = (Ï€)(7^2) = 49Ï€
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
What is the area of a circle with circumference \(14Ï€?\)
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Since the circumference is 14Ï€, the radius is 7, and the area is (7^2)Ï€ = 49Ï€.VJesus12 wrote:What is the area of a circle with circumference \(14Ï€?\)
A. \(7\)
B. \(49\)
C. \(7\pi\)
D. \(14\pi\)
E. \(49\pi\)
[spoiler]OA=E[/spoiler]
Source: Manhattan GMAT
Answer: E
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Circumference of a circle = 2Ï€rVJesus12 wrote:What is the area of a circle with circumference \(14Ï€?\)
A. \(7\)
B. \(49\)
C. \(7\pi\)
D. \(14\pi\)
E. \(49\pi\)
[spoiler]OA=E[/spoiler]
Source: Manhattan GMAT
Since we're told the circle has circumference 14Ï€, we can write: 2Ï€r = 14Ï€
Divide both sides of the equation by 2Ï€ to get: r = 7
Area of a circle = πr²
So the area of the given circle = π(7²) = 49π
Answer: E
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Brent
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