Wheel A has a diameter of 25.4 inches. Wheel B has a diameter of 22.5 inches. About how much farther will Wheel A travel in one rotation than Wheel B? Use 3.14 for pi. Round your answer to the nearest whole number.
![Wheel A has a diameter of 254 inches Wheel B has a diameter of 225 inches About how much farther will Wheel A travel in one rotation than Wheel B Use 314 for pi class=](https://us-static.z-dn.net/files/db2/5b3b5c556913f2d7cd988788874459f9.png)
Wheel A will travel a distance of approximately 9 in more than wheel B in one rotation.
Explanation:
Given:
Diameter of wheel A, d₁ = 25.4 in
Radius of wheel A, r₁ = 12.7 in
Diameter of wheel B = 22.5 in
Radius of Wheel B, d₂ = 11.25 in
Distance travelled by A = ?
In one rotation, the distance travelled by a wheel is equal to its circumference.
Circumference of a wheel = 2πr
Circumference of wheel A = 2πr₁
= 2 X 3.14 X 12.7 in
= 80 in
Circumference of wheel B = 2πr₂
= 2 X 3.14 X 11.25 in
= 71 in
Therefore, wheel A will travel a distance of approximately 9 (80 - 71 in) in more than wheel B in one rotation.