A fly sitting on the rim of a wheel travelled 48 feet after being spun around 8 times, what is the radius of the wheel? Show your work!

Answer 1

The fly travels the circumference of the wheel with each spin. The formula for circumference is 2πr. So 8⋅2πr=48 ft. Divide both sides by 16π to get r=3/π ft. If you need a rounded answer, then 0.9549 ft would, I hope, be sufficient.

Answer 2

8 Rotations = 48 Feet

One Rotation = 48/8 Feet = 6 Feet

One Rotation = 2* Pi* radius

2 * Pi*radius = 6 feet

Pi*radius = 6/2 feet = 3 feet

radius = 3/Pi feet = 0.95 feet