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

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Answer to a math question The area of a circle is 25π 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

:
*

\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

:
*

C = 2\pi(5)

C = 10\pi

The circumference of the circle is

10\pi

units.

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

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

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