anonymous
  • anonymous
help for medal
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • 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
  • madhu.mukherjee.946
Each length from the center to the outside is 25 ft. That's what you're given.
anonymous
  • anonymous
ok

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anonymous
  • anonymous
yes that wat im given
madhu.mukherjee.946
  • madhu.mukherjee.946
ok wait
anonymous
  • anonymous
ok
madhu.mukherjee.946
  • 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
  • madhu.mukherjee.946
it will look like a wheel
anonymous
  • anonymous
|dw:1439487283042:dw|
madhu.mukherjee.946
  • madhu.mukherjee.946
no
madhu.mukherjee.946
  • madhu.mukherjee.946
wait i'm doing it
madhu.mukherjee.946
  • madhu.mukherjee.946
|dw:1439487416223:dw|
madhu.mukherjee.946
  • madhu.mukherjee.946
this is a circle with 20 angles
anonymous
  • anonymous
ook
madhu.mukherjee.946
  • 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
  • madhu.mukherjee.946
360/20=18
anonymous
  • anonymous
360/20=18
madhu.mukherjee.946
  • madhu.mukherjee.946
good. Now do you know how central angles relate to their arcs?
anonymous
  • anonymous
NOT REALLY
madhu.mukherjee.946
  • madhu.mukherjee.946
ok
anonymous
  • anonymous
YEA :(
madhu.mukherjee.946
  • 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
  • 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
  • madhu.mukherjee.946
=7.85
madhu.mukherjee.946
  • 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
  • madhu.mukherjee.946
Now for the area of the sector.....
madhu.mukherjee.946
  • madhu.mukherjee.946
That also has a formula,
madhu.mukherjee.946
  • madhu.mukherjee.946
its's arc lenght /360 = pi r^2
madhu.mukherjee.946
  • madhu.mukherjee.946
The area formula for a sector of our circle is as follows: 18/360 * pi* r^2
madhu.mukherjee.946
  • madhu.mukherjee.946
which is equal to 98.17
anonymous
  • anonymous
ok
madhu.mukherjee.946
  • madhu.mukherjee.946
did you understand the sum and the logic properly
anonymous
  • anonymous
yes
madhu.mukherjee.946
  • madhu.mukherjee.946
okay great
anonymous
  • anonymous
thank
madhu.mukherjee.946
  • madhu.mukherjee.946
ur welcome

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