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What is the circumference of a circle that has an area of 50.24 square centimeters?

Question

What is the circumference of a circle that has an area of 50.24 square centimeters?

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Solution

To find the circumference of a circle from its area, you need to follow these steps:

  1. First, you need to find the radius of the circle. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

  2. Given that the area A is 50.24 square centimeters, you can set up the equation 50.24 = πr².

  3. To solve for r, divide both sides of the equation by π, then take the square root of the result. This gives you r = sqrt(50.24/π) ≈ 4 cm.

  4. Now that you have the radius, you can find the circumference. The formula for the circumference of a circle is C = 2πr.

  5. Substituting r = 4 cm into the formula gives you C = 2π(4) = 8π cm ≈ 25.12 cm.

So, the circumference of the circle is approximately 25.12 centimeters.

This problem has been solved

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