Question

help for medal

Answer 1

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.

Answer 2

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

Answer 3

ok

Answer 4

yes that wat im given

Answer 5

ok wait

Answer 6

ok

Answer 7

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

Answer 8

it will look like a wheel

Answer 9

no

Answer 10

wait i'm doing it

Answer 11

this is a circle with 20 angles

Answer 12

ook

Answer 13

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

Answer 14

360/20=18

Answer 15

360/20=18

Answer 16

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

Answer 17

NOT REALLY

Answer 18

ok

Answer 19

YEA :(

Answer 20

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 :))))

Answer 21

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

Answer 22

=7.85

Answer 23

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

Answer 24

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

Answer 25

That also has a formula,

Answer 26

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

Answer 27

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

Answer 28

which is equal to 98.17

Answer 29

ok

Answer 30

did you understand the sum and the logic properly

Answer 31

yes

Answer 32

okay great

Answer 33

thank

Answer 34

ur welcome