Question

The circumference of the hub cap of a tire is 79.63 centimeters. Find the area of this hub cap. Us

3.14 for a.

Answer 1

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.