Question

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A Ferris wheel car moves from point C to point D on the circle shown below:
D
38°
А ferris wheel car moves from point C to D on the circle shown below:

d = 20 ft
What is the arc length the car traveled, to the nearest hundredth?
2.18 feet
4.31 feet
5.84 feet
6.63 feet

Answer 1

Answer:

AL= 6.63

Step-by-step explanation:

C = 2$\pi r$

C = 2$\pi 10$

C = 20$\pi$

$AL = \frac{38}{360} 20\pi$

AL= 6.63

Answer 2

The length of the arc travelled by the car is 6.63 feet.

What is the  arc length of a circle?

The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.

Formula for calculating the arc length

Arc length = θ×$\frac{\pi }{180}$× r

where,

θ is central angle of arc

r is the radius of circle

What is diameter of the circle?

The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.

Formula for the calculating arc length

diameter = 2× radius

According to the given question

we have

θ = 38 degrees

diameter = 20ft

⇒ radius = $\frac{20}{2}$

⇒ radius = 10

Therefore,

the arc length the car traveled = 38×$\frac{\pi }{180}$× 10

= 38×$\frac{3.14}{180}$×10

=$\frac{1193.2}{180}$

=6.63 feet

Hence, the arc length the car travelled is 6.63feet.

Learn more about the arc length here:

https://brainly.com/question/16403495

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