Question

The circumference of the hub cap of a tire is 83.96 centimeters. Find the area of this hub cap. Use 3.14 for . Use pencil and paper. If the circumference of the hub cap were​ smaller, explain how this would change the area of the hub cap.

Answer 1

Area =
`561.2485` square centimeter

If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.

Explanation:

As we know the circumference of a circle is
`2\pi r`

The radius of the hub cap needs to be devised to determine the area

`83.96`
`= 2* 3.14*r`

`r = (83.96)/(2*3.14)`

`r = 13.37` centimeters

Area of the hub cap =
`\pi r^(2)`

Substituting the devised value of r in the above equation, we get -

`3.14 * 13.37^2\\`

`561.2485` square centimeter

If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.