Question

The circumference of the hub cap of a tire is 76.87 centimeters. Find the area of this hub cap. Use 3.14 for pi. 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

blank square centimeters.

Answer 1

Answer: The area of this hub cap is about  470.46  square centimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

• Circumference (C) = 2π radius

Replacing with the values given:

76.87 = 2 (3.14) r

Solving for r (radius)

76.87/ (2x 3.14) =r

r = 12.24 cm

To find the Area:

• Area of a circle = π r^2

A = 3.14 (12.24)^2

A = 470.46 cm2

If the circumference of the hub is smaller, the area is also smaller because it means that the radius of the circle decreases.

Feel free to ask for more if needed or if you did not understand something.