Final answer:
The width of the car tire is approximately 20 inches.
Step-by-step explanation:
To find the width of the car tire, we need to calculate the circumference of the car tire using the formula C = 2πr, where r is the radius. Given that the radius of the car tire hubcap is 8 inches, the circumference is C = 2π(8) = 16π inches.
The area of the car tire is given as 80π square inches. We know that the area of a circle is A = πr^2, so we can solve for the radius using the formula r = sqrt(A/π). Plugging in the given area of 80π, we get r = sqrt(80) = 8√5 inches.
Since the width of the car tire is the difference between the radius of the car tire hubcap and the radius of the car tire, the width is 8√5 - 8 = 8(√5 - 1) inches, which is approximately 20 inches.