Question

I NEED HELP!! I AM NOT JUST LOOKING FOR AN ANSWERING!! I JUST NEED AN THOROUGH EXPLANATION FOR THIS PROBLEM!!!! I WILL GIVE FAN AND MEDAL!!

A carnival ride is in the shape of a wheel with a radius of 20 feet. The wheel has 16 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars?

Answer 1

central angle of a quarter-circle is 360/4 degrees.

the interior angle of each section of this one is 360/16 degrees

to find the arc length. find the perimeter of the entire circle. the arc length of one section is 1/16 of the entire circle perimter

same for area. the area of the fraction of the circle is area of circle/16

Answer 2

first you will need to work out the circumference of the wheel (circle)

Answer 3

1256 right?

Answer 4

hmaug4 are you there?

Answer 5

cupcake has given you a very solid explanation, and hmaug4 did you a favor by suggesting that you find the radius of the circle mentioned here.

What further help do you need?

Answer 6

i dont understand how i have to divide 360/4, how did he/she get 4? @mathmale

Answer 7

That was just an example, and it's too bad it wasn't labeled as "an example."

Answer 8

oh okay so it does not correspond with the question? @mathmale

Answer 9

Try sketching it. If you have 16 cars, you will have 16 like slices of pizza. For the angle, you know the total angle inside a circle so just use division. For arc length, you can find the circumference and again use division. For area, you can find the area and again, use division.

Answer 10

OOOHH I think i understand it now. Do i have to use the arc length formula and the area of the sector fomula? @wolfe8

Answer 11

You could. Or, since they are equally spaced(I would hope so for a carnival ride), you can just use division of total perimeter(circumference)/angle/area by the slices you have.

Answer 12

how would i find the central angle ? do i do 2(pi)r(x/360)?

Answer 13

2(pi)r is the formula for circumference. Do you remember what the angle inside a circle is? Hint: Circles make the whole cycle of angle

Answer 14

would it be 360/16 since there are 16 carts?

Answer 15

Not exactly. But your math is correct. It's just your concept that is not accurate. You divide by 16 because there are 16 sectors between the cars; not the cars themselves.

Answer 16

oh! okay so 22.5 is the central angle correct?

Answer 17

Yup yup

Answer 18

Then the arc length is around 10.87

Answer 19

and the area sector is 78.5

Answer 20

That's not what I got. Do 2*pi*r/16 Your r is radius 20

Answer 21

For length of arc ^

Answer 22

Area of sector looks right

Answer 23

oh right!! so it would be 7.85?

Answer 24

Yup. Good job

Answer 25

really?!!!

Answer 26

THANK YOU SO MUCH!!!!!!!!!!!! You are a very kind person!! im sorry for taking most of your precious time. I appreciate all the help you gave me today!!! THANK YOU!!!!!!!!!!

Answer 27

Nope it's fine. Good job and you're welcome. Have a good evening :)