Question

The circumference of the hub cap of a tire is 73.79 centimeters. Find the area of this hub cap. Use 3.14 for π. 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.

Answer 1

433.5 cm²

Explanation:

The formula for circumference is C = 2πr, where r is the radius.

Here, C = 2πr = 73.79 cm. Solving this for the radius, r, we get:

73.79 cm

r = ---------------- = 11.75 cm

2(3.14)

Then the area of the hubcap is A = πr², or, in this case,

A = 3.14(11.75 cm)² = 433.5 cm²