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The circumference of a circle is 278.71m. What is the approximate area of the circle? Use 3.14 for pi. Explain how the area of a circle changes when the circumference of a circle changes ( round the final answer to the nearest whole number as needed , round all the intermediate values to the nearest thousandth as needed )

The circumference of a circle is 278.71m. What is the approximate area of the circle-example-1
User Naomi Fridman
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1 Answer

27 votes
27 votes

The circumference of a circle can be found through the formula:


C=2\cdot\pi\cdot r

clear the equation for the radius


r=(C)/(2\pi)

find the radius of the circumference


\begin{gathered} r=(278.71)/(2\pi) \\ r\approx44.358 \end{gathered}

find the area of the circle using the formula


\begin{gathered} A=\pi\cdot r^2 \\ A=\pi\cdot(44.358)^2 \\ A\approx6181 \end{gathered}

User MingWen
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