Fozzie the dog chases Fluffy the cat around the edge of a ci

Fozzie the dog chases Fluffy the cat around the edge of a circular garden that has a radius of 28 feet. Fozzie starts the chase running counterclockwise from the 8 o\'clock position while Fluffy starts at the 3 o\'clock position and runs counterclockwise as well. a. If Fluffy were to remain still, how far would Fozzie have to run in order to catch Fluffy b. If Fozzie were to remain still, how far would Fluffy have to run in order to catch Fozzie?

Solution

a) Angle subtended = (2pi/12)*5 = 2.62 radian

radius = r = 28 feet

Fozzie have to run = 28*2.62 = 73.36 feet

b) Angle subtended = (2pi/12)*7 = 3.67 radian

radius = r = 28 feet

Fluffy have to run = 28*3.67 = 102.76 feet