College

The circumference of the hub cap of a tire is 74.79 centimeters. Find the area of this hub cap. Use 3.14 for pi.

If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.

Answer :

The area of the hub cap with a circumference of 4.79 centimeters is 445.32 cm².

What is the area of the hub cap?

The area and circumference of a circle is expressed as;

A = πr²

C = 2πr

Where r is the radius.

Given the data in the question;

  • Circumference C = 74.79 cm
  • Constant pi π = 3.14
  • radius r = ?
  • Area A = ?

To determine the area of hub cap, first find the radius.

C = 2πr

74.79 = 6.28 × r

r = 74.79 / 6.28

r = 11.909 cm

Now, the area of of the cap will be;

A = πr²

A = 3.14 × ( 11.909 cm )²

A = 445.32 cm²

Therefore, the area of the cap is 445.32 cm².

Learn more about circles here: brainly.com/question/11952845

#SPJ1