Christine races her bicycle for 96 m A wheel of her bicycle

Christine races her bicycle for 96 m. A wheel of her bicycle turns 48 times as the bicycle travels this distance. What is the diameter of the wheel? Use the value 3.14 for pi. Round your answer to the nearest tenth. Do not round any intermediate steps.

Solution

One rotation of wheel travels -----2pi*r where r is radius of wheel

48 rotations would travel -----2*pi**48 = 96*pi

96*pi*r = 96 mteres

r = 1/ pi = 1/3.14 = 0.318 mt = 0.3 mt ( rounded off to nearest tenth)