Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Ay 31 YO METAL TOP School Factcoobrom sovin 9.6.PS-18 Question Help The circumference of the hub cap of a tire is 73.66 centimeters. Find the area of this hub cap. Use 3.14 for at. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this 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.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Back Neats

Sagot :

Answer:

432 square centimeters

Step-by-step explanation:

Given :

The circumference of a hub cap is = 73.66 cm

The circumference of a circle is given as = 2πr, where r is the radius of the circular hubcap.

So , 2πr = 73.66

     ⇒ [tex]$r=\frac{73.66}{2 \times \pi}$[/tex]

      ⇒ [tex]$r=\frac{73.66}{2 \times 3.14}$[/tex]        (Using, π = 3.14)

     ⇒ r = 11.73 cm

Therefore the area of the hub cap is given by A = [tex]$\pi r^2$[/tex]

A = [tex]$3.14 \times 11.73 \times 11.73$[/tex]

   = 432 [tex]$cm^2$[/tex]

If the circumference of the hubcap were smaller, the area of the hubcap would be smaller too, since the circumference of the hubcap is proportional to the radius which is proportional to the area too.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.