High School

The circumference of the hub cap of a tire is 74.04 centimeters. Find the area of this hub cap. Use 3.14 for \(\pi\).

Answer :

Using the circumference, the area of the hub cap is obtained as approximately 437.21 square centimeters.

What is circumference?

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.

The circumference of the hub cap is given by the formula -

C = 2πr

where r is the radius of the hub cap.

We can solve for the radius by dividing both sides by 2π -

r = C / 2π

r = 74.04 / 2(3.14)

r ≈ 11.8 cm

The area of the hub cap is given by the formula -

A = πr²

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

A = π(11.8)²

A = 3.14 × 139.24

A ≈ 437.21 cm²

Therefore, the area of the hub cap is 437.21 square centimeters.

To learn more about circumference from the given link

https://brainly.com/question/20489969

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