(09.04 MC)
A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 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. (10 points) please I need to finish in an hour

central angle=18

arc length=2.5 π feet

area of a sector=31.25π square feet

Step-by-step explanation:

Given

wheel radius=25 feet

attached cars=20

Space between cars along the circumference of wheel= 360/20

                                                                                          =18

Finding arc length:

arc length= radius x angle(in radians)

 angle in radian = 18 x π/180 = 0.1π radians

arc length   = 25 x 0.1π

                 =2.5π feet  

Area of the circle = πr^2

Area of the circle = π(25)^2

Area of the circle = 625π square feet.  

As the ratio of the central angle to the full circle angle is proportional to the area of the sector to the complete circle:

central angle/360=area of sector/area of circle

Area of sector= area of circle x 18/360

                       = 625π(1/20)

                        =31.25π !

the balance is found at the link

step-by-step explanation: