1 Answer

Sopel · Answer 1 · 2023-05-15T03:02:00+0000

For this problem, we are given the measurement of the circumference of a circle. We need to determine the area of this circle.

The expression for the circumference is shown below:

$C=2\pi r$

The expression for the area is:

$A=\pi r^2$

We can use the first expression and the given circumference to determine the radius:

$\begin{gathered} 79.63=2\cdot3.14\cdot r\\ \\ r=(79.63)/(2\cdot3.14)=(79.63)/(6.28)=12.68\text{ cm} \end{gathered}$

The radius is 12.68 cm. We need to determine the area:

$A=3.14\cdot12.68^2=3.14\cdot160.78=504.86\text{ square cm}$

The area for the hub cap is 504.86 square cm.

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