A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle

Question

3 years ago

10

and the central angle C A D marked 42 degrees. The diameter is 30 feet. What is the arc length the car traveled, to the nearest hundredth?

1 answer:

natali 33 [55] · Answer 1 · 2022-04-29T20:34:44+03:00

Answer:

10.99 feet

Step-by-step explanation:

The arc length when an angle of 360° is made is the perimeter of the circle.

Perimeter = π*Diameter = π*30 = 94.25 ft

To know the arc length when an angle of 42° is made, we need to use the following proportion

94.25 ft / x ft = 360° / 42°

x = 42/360*94.25

x = 10.99 ft