Can you explain how to solve this?

Question

A merry-go-round with the given radius turns through the given angle. How far, in feet, will a child on the edge of the merry-go-round travel?

1.) 4 feet; 270 degrees 

Answer 1

Michelle,

 

Merry go round has a radius of 4 ft

 

For 1 rotation of it (360 degrees) the child with travel the circumference which is 2*pi*r ft

 

For 270 degrees angle child travels (270/360)*2*pi*r = (3/4)*2*pi*4 = 6*pi ft = 18.85 ft