Problem

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

Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. centimeters
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Answer

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Answer

Final Answer: The radius of the circle is approximately \(\boxed{4.0}\) centimeters.

Steps

Step 1 :The area of a circle is given by the formula \(A = \pi r^2\), where \(A\) is the area and \(r\) is the radius.

Step 2 :We can rearrange this formula to solve for \(r\): \(r = \sqrt{\frac{A}{\pi}}\).

Step 3 :We know that \(A = 50.24\) square centimeters and \(\pi \approx 3.14\), so we can substitute these values into the formula to find the radius.

Step 4 :Substituting the values we get \(r = \sqrt{\frac{50.24}{3.14}}\).

Step 5 :Solving the above expression we get \(r = 4.0\).

Step 6 :Final Answer: The radius of the circle is approximately \(\boxed{4.0}\) centimeters.

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