hi can someone help me with geometry

- sebastiangonzagonza

hi can someone help me with geometry

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- chestercat

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- anonymous

your questions?

- sebastiangonzagonza

It's a multi-part question

- sebastiangonzagonza

A Ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. There are cars or compartments where people can sit or stand that are evenly spaced about the circumference of the circle. The wheel rotates slowly, taking passengers on a ride around the circumference of the circle.
Please select one of the following famous Ferris wheels to research:
Singapore Flyer
London Eye
Star of Nanchang
You will need to find the diameter and number of compartments (or cars) for the one you chose in order to be able to complete the calculations section of the assignment. Once you have your information, move on to step 2.

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## More answers

- sebastiangonzagonza

i selected the London Eye

- anonymous

ok and?

- sebastiangonzagonza

Complete the following tasks and calculations. You must show all work and steps to receive full credit.
Name of the Ferris wheel
Diameter of the wheel (in meters)
Number of cars or compartments
Circumference of the wheel (in meters)
Area of the wheel (in meters)
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

- sebastiangonzagonza

i just need help walking through it

- sebastiangonzagonza

so obviously #1 would be The London Eye lol

- anonymous

you need the help from wikipedia

- sebastiangonzagonza

okay

- anonymous

they have the dimensions and all the details

- sebastiangonzagonza

okay thank you

- anonymous

yw

- sebastiangonzagonza

@Hero Hi. can you please help me. Wikipedia doesnt have this information and i need a bit more help

- anonymous

i can help you if you choose singapore flyer...the diameter is 150m

- sebastiangonzagonza

okay

- sebastiangonzagonza

but i do want to be walked through it

- anonymous

ok

- anonymous

theres 28 compartments

- sebastiangonzagonza

i was about to say that lol

- anonymous

i live in singapore btw. lol

- sebastiangonzagonza

really??? thats so cool!! i live in florida

- anonymous

cost SGD30 a ride there

- sebastiangonzagonza

wow 20 us dollars

- anonymous

now we got the first 3 problems out

- sebastiangonzagonza

now i have to find the circumference of the wheel

- anonymous

you know how to calculator that right?

- anonymous

the rest of the questions are calculations

- sebastiangonzagonza

not really

- sebastiangonzagonza

should i do it?

- anonymous

yea you should

- sebastiangonzagonza

i mean how should i do it?

- anonymous

circumference = diameter * pi

- sebastiangonzagonza

okay hold on

- sebastiangonzagonza

so is it 471??

- anonymous

yes

- sebastiangonzagonza

okay

- anonymous

471.239

- anonymous

try not to cut off too much of the decimals, it can affect your calculations later

- anonymous

now we have
Area of the wheel (in meters)
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
to do

- sebastiangonzagonza

okay so how should i calculate the area?

- anonymous

\[A=\pi r^2\]

- sebastiangonzagonza

r is radius, correct??

- anonymous

yup

- sebastiangonzagonza

so r is c/2

- sebastiangonzagonza

547370.9643537529??

- anonymous

no

- anonymous

radius is d/2

- sebastiangonzagonza

OHH okay

- sebastiangonzagonza

55460.25?

- anonymous

|dw:1438968164365:dw|

- anonymous

|dw:1438968220429:dw|

- anonymous

no either

- anonymous

square your radius then multiply by pi

- sebastiangonzagonza

but the diameter is 150?

- anonymous

radius is half of diameter

- anonymous

Area = pi times radius squared

- sebastiangonzagonza

okay so since the radius is half of the diameter it would be 75

- sebastiangonzagonza

then mulitplied by itself it would be 5625

- sebastiangonzagonza

so then 5625*3.14 is 17662.5

- anonymous

correct

- anonymous

now for the central angle, it probably is asking the angle between 2 cars

- sebastiangonzagonza

okay so how should i calculate it?

- anonymous

360 divide by 28 which is the number of cars

- sebastiangonzagonza

12.8571

- anonymous

yes

- anonymous

now we have to convert that to radian

- anonymous

use this formula\[\theta \times \frac{ \pi }{ 180 }\]

- sebastiangonzagonza

what should i put in the calculator

- anonymous

the angle in degree multiply by pi

- anonymous

then divide by 180

- sebastiangonzagonza

0.22428

- anonymous

i have 0.224399 but it doesnt matter much

- sebastiangonzagonza

Okay

- anonymous

the unit for this is rad

- sebastiangonzagonza

so was that for number 6 or 7

- anonymous

Measure of a central angle in radians

- sebastiangonzagonza

oh what was the one in degrees?

- anonymous

12.8571

- sebastiangonzagonza

so now the arc length between two cars or compartments

- anonymous

mutliply the 0.22 something rad with the radius

- sebastiangonzagonza

okay

- sebastiangonzagonza

0.04936778?

- anonymous

how can it be that small

- sebastiangonzagonza

im not sure

- anonymous

0.224399*75

- sebastiangonzagonza

16.829925

- anonymous

ok thats correct

- anonymous

now we have the last questions to deal with

- anonymous

use this formula \[A= \frac{ 1 }{ 2 } \times (\theta - \sin \theta) \times r^2\]theta is your radian

- sebastiangonzagonza

im not sure how to do this

- anonymous

\[\frac{ 1 }{ 2 } \times (0.224399-0.222520) \times 75^2\]

- anonymous

you need to change your calculator to radian mode to get sin theta

- sebastiangonzagonza

5.2846875??

- anonymous

yes

- anonymous

oops wrong

- anonymous

wrong formula loool

- anonymous

\[\frac{ 1 }{ 2 } \times 0.224399 \times 75^2\]

- sebastiangonzagonza

631.1221875?

- anonymous

yes

- sebastiangonzagonza

okay

- anonymous

now we are done!

- sebastiangonzagonza

thank you so much

- anonymous

yw

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