SamandaA185943 SamandaA185943
  • 03-11-2022
  • Mathematics
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Find the area of a circle with a circumferenceof 261 feet.

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DaliaQ159452 DaliaQ159452
  • 03-11-2022

It is given that Circumference of circle is 26П feet

The expression for the Circumference of circle is 2Пr.

So,

[tex]\begin{gathered} 2\Pi r=26\Pi \\ r=\frac{26\Pi}{2\Pi} \\ r=13 \end{gathered}[/tex]

Radius of the circle is 13 feet

The expression for the area of circle is ПRadius²

[tex]\begin{gathered} \text{Area of circle =}\Pi\times r^2^{} \\ \text{Area of circle=3.14}\times13\times13 \\ \text{Area of circle = 530}.93\text{ f}eet^2 \end{gathered}[/tex]

Answer: 530.9

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