Question

A cabin on a ferris wheel has traveled one fourth of the circumference of the wheel, a distance of 117.75 feet. what is the radius, in feet, of the ferris wheel? Use 3.14 for pi​

Answer 1

Explanation:

We know the formula for the circumference of a circle, so we can use that to find the radius corresponding to a distance that is 1/4 of the circumference.

C = 2πr . . . . formula for circumference

1/4C = (1/4)2πr = (π/2)r . . . . find 1/4 of the circumference

r = (2/π)(1/4C) . . . . . . multiply by the inverse of the coefficient of r

__

r = (2/3.14)(117.75 ft) = 75 ft . . . . . substitute given values for (1/4C) and π

The radius of the ferris wheel is 75 feet.