Geo 1 Help (medals)

Question

Geo 1 Help (medals)

anonymous · Answer

A carnival ride is in the shape of a wheel with a radius of 20 feet. The wheel has 16 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

here_to_help15 · Answer

ok... so sector angle 1st 

360 in a circle... 

25 cars... 

360/25 =

here_to_help15 · Answer

the central angle will help to tell you the fraction of the circle you are dealing with

fraction = sector angle
                -----------
                        360


the the arc length = cricumference  times fraction

sector area = area of crircle times fraction

here_to_help15 · Answer

angle is 

360/20 = 18

so the fraction is 

18/360

here_to_help15 · Answer

so arc length = 7.85 ft

area = 98.17 ft^2