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

Answer:

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.

Step-by-step 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

$83.96$ $= 2* 3.14*r$

$r = \frac{83.96}{2*3.14}$

$r = 13.37$ 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.