Question

I was wondering how to find these things about the Singapore Flyer (Ferris Wheel)?
- Measure of a central angle in degrees
- Measure of a central angle in radians
- Arc length between two cars or compartments
- Area of a sector between two cars or compartments

Answer 1

Please, I need help :D

Answer 2

@mathstudent55

Answer 3

No

Answer 4

@campbell_st

Answer 5

well I'd expect you would need an image

and a protractor...

measure the angle... in degrees and then convert to radians.

Answer 6

for this assignment there was no picture given but I have the diameter, circumference, area of the wheel, and number of compartments on the ferris wheel. @campbell_st

Answer 7

ok... so how many compartments...?

Answer 8

28, diameter is 150 meters, circumference = 471, area of wheel = 17662.5

Answer 9

28 compartments

Answer 10

ok... so a circle contains 360 degree

so the angle between compartments is

360/28

does that make sense

Answer 11

Yes

Answer 12

so when you get the sector angle it can be used to get the fraction of the circle

sector area = (sector angle)/360 * area

arc length = (sector angle)/360 * circumference

angle in radians use

\[180^o = \pi\]

so then \[1^o = \frac{\pi}{180}\]

so the measure in radians will be

\[(sector \angle) \times \frac{\pi}{180}\]

hope it helps

Answer 13

so 12.86 is the sector angle , then the sector area = 630.80, arc length = 5.36, then I got lost :( @campbell_st @amistre64

Answer 14

ok... so the conversion to radians just do

\[12.86 \times \frac{\pi}{180} = \]

Answer 15

Okay so just to clarify the central angle is 12.86 and in radians it is .22? Thank you so much btw, it really has helped loads!! @campbell_st and sorry if I am annoying the crap out of you :P

Answer 16

thats ok.... glad to help

Answer 17

yes your radian measure is correct