High School

The circumference of the hub cap of a tire is 76.24 centimeters. Find the area of this hub cap. Use 3.14 for \(\pi\).

Answer :

The circumference of the hub cap of a tire is 76.24 centimeters. The area of this hub cap is 4,567.17 square centimeters.

The area of the hub cap can be found using the formula: A = πr², where π is the value of pi and r is the radius of the hub cap.

To find the radius, we first need to find the diameter of the hub cap, which is equal to the circumference.

Next, we can find the radius by dividing the diameter by 2:

r = 76.24 cm / 2 = 38.12 cm

Now, we can substitute the value of the radius into the formula for area:

A = π(38.12 cm)² ≈ 4,567.17 cm²

Therefore, the area of the hub cap is approximately 4,567.17 square centimeters when rounded to two decimal places.

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