Problem of the Week - Middle School - Nov. 22, 2020 to Nov. 28, 2020

Nov 25, 2020 | West Covina

 

 

Middle School: 

 

Question: A hamster and a guinea pig are running on wheels. The hamster's wheel is 6 inches in diameter. The guinea pig's wheel is 18 inches diameter. How much farther does the guinea pig run for each rotation of its wheel? 

 

 

 

 

Answer: 12π inches

 

 

Solution:  The formula we use to find the circumference of a circle is C = πd, d being the diameter of the circle. The hamster runs π × 6 = 6π inches. The guinea pig runs π × 18 = 18π. So, the guinea pig runs 18π – 6π = 12π inches farther than the hamster.