Question

After a bicycle tire has done 10 rotations, it has traveled 879.2 inches. Write and solve an equation to find the radius of the tire.

Answer 1

14in approx

Explanation:

Given data

number of rotations= 10

Distance travelled= 879.2 inches

Hence if in 10 rotations the distance covered is 879.2 inches

in 1 rotation the distance covered will be x inches

cross multiply

10x= 879.2

x= 879.2/10

x= 87.92 inches

This means that the circumference of the tire is 87.92 in

From

C= 2πr

Let us solve for r

87.92=2*3.142*r

87.92=6.284r

r= 87.92/6.284

r= 13.9

Hence the radius is 14in approx