Question

Tires from two different trucks are being compared. Tire A has a diameter of 32 inches and Tire B has a diameter of 28 inches. How much farther dose Tire A travel compared to Tire B after one revolution? Round your wander to one decimal place. (remember to place the unit of measure [inches] after the numeral sender)

Answer 1

12.6 inches

Explanation:

-The distance covered in one revolution is equivalent to the circumference oif a tire.

#We calculate the Circumference of A:

`C_a=\pi D\\\\=\pi * 32\\\\=100.5310\ inches`

#We then calculate the circumference of B:

`C_b=\pi D\\\\=\pi * 28\\\\=87.9646\ inches`

-A has a larger circumference than B and the difference is :

`\bigtriangleup=C_a-C_b\\\\=100.5310-87.9646\\\\=12.5664\approx12.6\ inches`

Hence, Tire A covers 12.6 inches more than B after one revolution.