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 and the central angle C A D marked 42 degrees. The diameter is 30 feet.

HELP NOW!! 100 POINTS!!! What is the arc length the car traveled, to the nearest hundredth?

7.91 feet
8.32 feet
10.99 feet
11.89 feet

Respuesta :

Answer:

10.99

Step-by-step explanation:

Took the test and it said it was this one :)

The arc length of the car traveled, to the nearest hundredth is 10.99feet

The formula for calculating the length of an arc is expressed as:

L = theta/360 × 2pi r

Given that

Radius r = d/2 = 30/2 =15ft

theta = 42 degrees

pi = 3.14

Substitute the given values into the formula as shown

L = 42/360×2(3.14)(15)

L = 42/360×94.2

L = 3956.4/360

L = 10.99feet

This shows that the arc length of the car traveled, to the nearest hundredth is 10.99feet

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