Question

Liang is ordering new tires for his car. The tires he has have a circumference of 28π inches and a wheel rim with a circumference of 18π inches. How much larger is the radius of the tire than the radius of the wheel?

Answer 1

The radius of tire is larger than radius of wheel by 5 inch

Step-by-step explanation:

We know that circumference of the circle is 2πr where “r” is the radius of the circle

Circumference refers to the dimension of the periphery of the circle. Since tires are put on the periphery of the wheel hence, we considered the circumferential aspect of the wheel.

Given-

Circumference of tires= 28π inches

2πr= 28π cancelling the common term “π” both sides

r (radius of the tires) = 14 inches

Circumference of the wheel rims= 18π

2πr= 18π cancelling the common term “π” both sides

r (radius of the tires) = 9 inches

Difference between the radius= 14-9= 5 inches

Hence, the difference between the radius of tires and the radius of the wheels is 5 inches