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. Use pencil and paper. If the circumference of the hub cap were smaller, explain how t
would change the area of the hub cap.
The area of this hub cap is about square centimeters.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

Answer 1

Step-by-step explanation

In order to compute the area, we need to apply the following equation:

Circumference = 2πr

where r = radius

Plugging in the values into the expression:

79.63 = 2 (3.14) r

Isolating r:

79.63/ (2x 3.14) =r

Simplifying:

r = 12.68 cm

Now, we need to compute the area:

`Area_{circle\text{ }}=πr^2`
`Area_(c\imaginaryI rcle)=3.14*\left(12.68\right)^2`
`Area_(circle)=504.85\text{ cm\textasciicircum2}`

Answer:

Because the radius of the circle drops as the circumference of the hub shrinks, the area shrinks as well.

The area of the hub cap is 504.857 cm^2