Question

Geometry someone please help!
I just have three questions about the Star of Nanchang that i cant find anywhere.
1. Measure of a central angle in degrees.
2. Measure of central angle in radians.
3. Area of a sector between two seats.
Please i will give medal!

Answer 1

@thomaster could you help please?

Answer 2

@zepdrix i got the last question wrong but could you help with these? That would be awesome

Answer 3

@jdoe0001 Help?

Answer 4

@Grumpy

1. Measure of a central angle in degrees.

The measure of each central angle is 6 degrees, assuming that the cabins are equally spaced and that there are 60 cabins. 360 degrees in a circle and then divide that by 60 to get 6 degrees per central angle.

Answer 5

2. Measure of central angle in radians.

To convert degrees to radians.

6 degrees is to 360 degrees as x is to 2*π*r where r = 153m/2 where the diameter of the wheel is 153 m.

6/360 = x/ [ 2*π*(153/2) ]

@Grumpy Post what you get when you crank out the value of x. Then, we can compare answers, okay?

Answer 6

3. Area of a sector between two seats.

For this, I think we'll need the formula:

6 degrees is to 360 degrees as y is to π*r² where y is the area of the sector.