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 45 degrees. The diameter is 15 feet.

What is the arc length the car traveled, to the nearest hundredth?

5.89 feet
6.23 feet
7.46 feet
8.15 feet

Respuesta :

Answer:

5.89 feet.

Step-by-step explanation:

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The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.

What is a Circle?

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

A Ferris wheel car moves from point C to point D on the circle.

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.

The diameter is 15 feet.

The arc length is determined by using the formula

L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r

L = ( 45 / 360) * 2 * 3.14 * r

r =  diameter / 2

r = 15/2 = 7.5 ft

L =  ( 45 / 360) * 2 * 3.14 * 7.5)

L = 5.8875 ft

L = 5.89 feet.

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