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The area of a circle is 25Ο€ square units. Find the perimeter or circumference.

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Answer to a math question The area of a circle is 25Ο€ square units. Find the perimeter or circumference.

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Birdie
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94 Answers
Solution:
1. Given:
* Area of a circle: 25\pi square units

2. Use the formula for the area of a circle:
* Area A = \pi r^2

3. Set the given area equal to the formula for area and solve for the radius r:
* \pi r^2 = 25\pi
* Divide both sides by \pi:
r^2 = 25
* Take the square root of both sides:
r = 5

4. Use the formula for the circumference of a circle:
* Circumference C = 2\pi r

5. Substitute the value of r:
* C = 2\pi(5)
* C = 10\pi

The circumference of the circle is 10\pi units.

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