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The circumference of a circle is 20pi ft. What is the area,in square feet?Express your answer in terms of pi Answer Attempt 1 out of 2 A=square ft^2

Problemas

The circumference of a circle is 20pi  ft.
What is the area,in square feet?Express
your answer in terms of pi 
Answer
Attempt 1 out of 2
A=square ft^2

The circumference of a circle is 20pi ft. What is the area,in square feet?Express your answer in terms of pi Answer Attempt 1 out of 2 A=square ft^2

Solución

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Tamaramaestro · Tutor durante 5 años
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The area of the circle is \(100\pi\) square feet.

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## Step 1<br />The circumference of a circle is given by the formula \(C = 2\pi r\), where \(r\) is the radius of the circle.<br /><br />## Step 2<br />Given that the circumference \(C = 20\pi\), we can set up the equation \(2\pi r = 20\pi\) to solve for \(r\).<br /><br />## Step 3<br />Solving for \(r\), we get \(r = 10\).<br /><br />## Step 4<br />The area of a circle is given by the formula \(A = \pi r^2\).<br /><br />## Step 5<br />Substituting \(r = 10\) into the area formula, we get \(A = \pi (10)^2 = 100\pi\).
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