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The area of a circle is 50.24 square centimetres. What is the circle's radius?

Question

The area of a circle is 50.24 square centimetres. What is the circle's radius?

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Solution

Sure, to find the radius of a circle given its area, you can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius.

Here are the steps:

  1. You know the area (A) is 50.24 square centimeters.

  2. You can rearrange the formula to solve for r (the radius). The rearranged formula is r = sqrt(A/π).

  3. Substitute the given area into the formula: r = sqrt(50.24/π).

  4. Calculate the value inside the square root: 50.24/π = 15.98 (rounded to two decimal places).

  5. Finally, find the square root of 15.98, which is approximately 4.00.

So, the radius of the circle is approximately 4.00 centimeters.

This problem has been solved

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