- anonymous

help for medal

- katieb

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- anonymous

A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

- madhu.mukherjee.946

Each length from the center to the outside is 25 ft. That's what you're given.

- anonymous

ok

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## More answers

- anonymous

yes that wat im given

- madhu.mukherjee.946

ok wait

- anonymous

ok

- madhu.mukherjee.946

now you draw a circle and divide the circle into 20 parts so what will you get 20 angles

- madhu.mukherjee.946

it will look like a wheel

- anonymous

|dw:1439487283042:dw|

- madhu.mukherjee.946

no

- madhu.mukherjee.946

wait i'm doing it

- madhu.mukherjee.946

|dw:1439487416223:dw|

- madhu.mukherjee.946

this is a circle with 20 angles

- anonymous

ook

- madhu.mukherjee.946

now A circle has a measure of 360 degrees. We have 20 angles in that circle. What does one angle measure, then?,

- madhu.mukherjee.946

360/20=18

- anonymous

360/20=18

- madhu.mukherjee.946

good. Now do you know how central angles relate to their arcs?

- anonymous

NOT REALLY

- madhu.mukherjee.946

ok

- anonymous

YEA :(

- madhu.mukherjee.946

Ok, well I am going to tell you and don't forget ok, cuz this is important and you will continue to use this fact throughout your years of math. The formula to find the arc length (which is not the same as the arc measure) is
lenght of the arc=measure of the arc/360 * 2pi *radius :))))

- madhu.mukherjee.946

Here we don't know the arc length so we fill in everything we do know and solve for the length.
so , lenght of the arc=18/360* 2*pi *25

- madhu.mukherjee.946

=7.85

- madhu.mukherjee.946

That is correct unless you have to leave your answer in terms of pi, which is 2.5pi, then.

- madhu.mukherjee.946

Now for the area of the sector.....

- madhu.mukherjee.946

That also has a formula,

- madhu.mukherjee.946

its's
arc lenght /360 = pi r^2

- madhu.mukherjee.946

The area formula for a sector of our circle is as follows:
18/360 * pi* r^2

- madhu.mukherjee.946

which is equal to 98.17

- anonymous

ok

- madhu.mukherjee.946

did you understand the sum and the logic properly

- anonymous

yes

- madhu.mukherjee.946

okay great

- anonymous

thank

- madhu.mukherjee.946

ur welcome

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