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A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the arc length the car traveled, to the nearest hundredth? 2.18 feet 4.31 feet 5.84 feet 6.63 feet

Bethany Evans

in Mathematics

1 answer

1 answer

Alexa Spicer on February 27, 2019

The length of the arc that is travelled is equal to the product of the perimeter and the relationship of the angle to the total angle of 360°. To mathematically express this concept,the length of the arc = C x (θ/360°)of the Circumference of the circle is calculated by the equation C = 2nr = nDwhere r is the radius and D is the diameter.Substituting the known values,the length of the arc = (π)(20 feet)(38°/360°), If we have the value of π as 3.14,the length of the arc = (3.14)(20 ft)(38°/360°)arc length = 6.63 ftTherefore, the answer is the last option.

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