Question

SOMEBODY PLEASE HELP ME??
I did the first 5 questions but I'm stuck on the rest. I just need help and guidance on how to find the rest.
1. Name of the ferris wheel: Singapore Flyer
2. Diameter of the wheel (in meters): 150 meters
3. Number of cars or compartments: 28
4. Circumference of the wheel (in meters): 471.34 meters
5. Area of the wheel (in meters): 17671.5 meters
6. Measure of a central angle in degrees
7. Measure of a central angle in radians
8. Arc length between two cars or compartments
9. Area of a sector between two cars or compartments

Answer 1

I'm most stuck on how to find the central angle. Like am I supposed to draw it out on a graph or how even. I learned how to find it with a given arc length but I don't have it.

Answer 2

whats the difficulty your having?

Answer 3

I'm not sure how to find the central angle mostly

Answer 4

it would appear that the number of cars tells us how the circle is divided

Answer 5

since there are 28 cars ... the circle is divided into 28 pieces ... what is 360/28?

Answer 6

12.86

Answer 7

good, and also by the same token ... a circle is 2pi radians ... so what is 2pi/28?

Answer 8

.2244?

Answer 9

pi/14 to be exact by yeah

since we are dividing the circle up into 28 parts ... the arclength is a 28th part of the circumference ... the area is a 28th of the area

Answer 10

Wait so the radian is going to .4887 right? But I'm not sure what I'm supposed to do with it next.

Answer 11

.2244 is the radians in a decimal form, an approximation.

Answer 12

you are asked for a portion of the circumference next, and a portion of the area .... you know the circumference and area of the whole circle .... so divide those by 28 for arclength and that other thing

Answer 13

So the central angle is 12.86 degrees right?