Question

April is riding on a circular Ferris wheel that has a radius of 53 feet. After boarding the Ferris wheel she traveled a distance of 100.7 feet along an arc before the Ferris wheel stopped for the next rider. The angle that April swept out along the arc had a measure of: _________

a. how many degrees?

b. how many radians?

Answer 1

(x°/360°)(2π)(53) = 100.7

a) x = (360 × 100.7)/(2π × 53)

= about 108.86°

b) 108.86°(π/180°) = about .605π radians

= 1.9 radians