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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.
Each length from the center to the outside is 25 ft. That's what you're given.
yes that wat im given
now you draw a circle and divide the circle into 20 parts so what will you get 20 angles
it will look like a wheel
wait i'm doing it
this is a circle with 20 angles
now A circle has a measure of 360 degrees. We have 20 angles in that circle. What does one angle measure, then?,
good. Now do you know how central angles relate to their arcs?
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 :))))
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
That is correct unless you have to leave your answer in terms of pi, which is 2.5pi, then.
Now for the area of the sector.....
That also has a formula,
its's arc lenght /360 = pi r^2
The area formula for a sector of our circle is as follows: 18/360 * pi* r^2
which is equal to 98.17
did you understand the sum and the logic properly