Question

PLEASE HELP ME! I will give medals!
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.

Answer 1

The wheel is a circle of radius 30 ft.
There are 30 cars attached to it so assuming they are spaced equally, there are 30 equal sectors.
Knowing one full circle is 2Pi radians, the angle of each sector should be
\[\theta=2\pi/30 rad\]
arc length,
\[s=r\]
Area,
\[A=\frac{ \theta }{ 2\pi }\pi r ^{2}\]

Answer 2

correction*
\[s=r \theta\]

Answer 3

I dont understand @Rapidknight

Answer 4

What is rad?

Answer 5

rad is radians.
angles can be expressed in degrees or radians. 360 degrees = 2Pi radians