Math CentralQuandaries & Queries


Question from Robert, a parent:

A steamroller with a 3 foot diameter and a 6 foot width makes 20 revolutions. How much ground area does it pave?

Hi Robert,

If the wheel of the steamroller has a diameter of 3 feet what is its circumference? This is the distance it travels in one revolution. Thus in one revolution the steamroller paves a rectangle which has the length of the circumference of the wheel and width 6 feet. What area does it pave in 1 revolution? What area does it pave in 20 revolutions?


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