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Mathematics 21 Online
OpenStudy (sebastiangonzagonza):

hi can someone help me with geometry

OpenStudy (anonymous):

your questions?

OpenStudy (sebastiangonzagonza):

It's a multi-part question

OpenStudy (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.

OpenStudy (sebastiangonzagonza):

i selected the London Eye

OpenStudy (anonymous):

ok and?

OpenStudy (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

OpenStudy (sebastiangonzagonza):

i just need help walking through it

OpenStudy (sebastiangonzagonza):

so obviously #1 would be The London Eye lol

OpenStudy (anonymous):

you need the help from wikipedia

OpenStudy (sebastiangonzagonza):

okay

OpenStudy (anonymous):

they have the dimensions and all the details

OpenStudy (sebastiangonzagonza):

okay thank you

OpenStudy (anonymous):

yw

OpenStudy (sebastiangonzagonza):

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

OpenStudy (anonymous):

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

OpenStudy (sebastiangonzagonza):

okay

OpenStudy (sebastiangonzagonza):

but i do want to be walked through it

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

theres 28 compartments

OpenStudy (sebastiangonzagonza):

i was about to say that lol

OpenStudy (anonymous):

i live in singapore btw. lol

OpenStudy (sebastiangonzagonza):

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

OpenStudy (anonymous):

cost SGD30 a ride there

OpenStudy (sebastiangonzagonza):

wow 20 us dollars

OpenStudy (anonymous):

now we got the first 3 problems out

OpenStudy (sebastiangonzagonza):

now i have to find the circumference of the wheel

OpenStudy (anonymous):

you know how to calculator that right?

OpenStudy (anonymous):

the rest of the questions are calculations

OpenStudy (sebastiangonzagonza):

not really

OpenStudy (sebastiangonzagonza):

should i do it?

OpenStudy (anonymous):

yea you should

OpenStudy (sebastiangonzagonza):

i mean how should i do it?

OpenStudy (anonymous):

circumference = diameter * pi

OpenStudy (sebastiangonzagonza):

okay hold on

OpenStudy (sebastiangonzagonza):

so is it 471??

OpenStudy (anonymous):

yes

OpenStudy (sebastiangonzagonza):

okay

OpenStudy (anonymous):

471.239

OpenStudy (anonymous):

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

OpenStudy (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

OpenStudy (sebastiangonzagonza):

okay so how should i calculate the area?

OpenStudy (anonymous):

\[A=\pi r^2\]

OpenStudy (sebastiangonzagonza):

r is radius, correct??

OpenStudy (anonymous):

yup

OpenStudy (sebastiangonzagonza):

so r is c/2

OpenStudy (sebastiangonzagonza):

547370.9643537529??

OpenStudy (anonymous):

no

OpenStudy (anonymous):

radius is d/2

OpenStudy (sebastiangonzagonza):

OHH okay

OpenStudy (sebastiangonzagonza):

55460.25?

OpenStudy (anonymous):

|dw:1438968164365:dw|

OpenStudy (anonymous):

|dw:1438968220429:dw|

OpenStudy (anonymous):

no either

OpenStudy (anonymous):

square your radius then multiply by pi

OpenStudy (sebastiangonzagonza):

but the diameter is 150?

OpenStudy (anonymous):

radius is half of diameter

OpenStudy (anonymous):

Area = pi times radius squared

OpenStudy (sebastiangonzagonza):

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

OpenStudy (sebastiangonzagonza):

then mulitplied by itself it would be 5625

OpenStudy (sebastiangonzagonza):

so then 5625*3.14 is 17662.5

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

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

OpenStudy (sebastiangonzagonza):

okay so how should i calculate it?

OpenStudy (anonymous):

360 divide by 28 which is the number of cars

OpenStudy (sebastiangonzagonza):

12.8571

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

now we have to convert that to radian

OpenStudy (anonymous):

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

OpenStudy (sebastiangonzagonza):

what should i put in the calculator

OpenStudy (anonymous):

the angle in degree multiply by pi

OpenStudy (anonymous):

then divide by 180

OpenStudy (sebastiangonzagonza):

0.22428

OpenStudy (anonymous):

i have 0.224399 but it doesnt matter much

OpenStudy (sebastiangonzagonza):

Okay

OpenStudy (anonymous):

the unit for this is rad

OpenStudy (sebastiangonzagonza):

so was that for number 6 or 7

OpenStudy (anonymous):

Measure of a central angle in radians

OpenStudy (sebastiangonzagonza):

oh what was the one in degrees?

OpenStudy (anonymous):

12.8571

OpenStudy (sebastiangonzagonza):

so now the arc length between two cars or compartments

OpenStudy (anonymous):

mutliply the 0.22 something rad with the radius

OpenStudy (sebastiangonzagonza):

okay

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