Question

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? Round answers to the nearest hundredth if applicable.

Answer 1

@imqwerty

Answer 2

@ganeshie8

Answer 3

I know the formulas for arc length and Area of a sector are 2πr(x/360) and A = πr2(x/360)

Answer 4

But I don't know how to solve for the central angle.

Answer 5

there are 16 equal segments so central angle = 360 / what ?

Answer 6

* sectors

Answer 7

16?

Answer 8

360/16 yeas

Answer 9

Okay so 2 * 3.14 * 20 (16/360) = 12.5 (16/360) = 12.5 * 0.04 = 0.5? For Arc length?

Answer 10

@welshfella

Answer 11

281.25 I mean.

Answer 12

no
central angle = 360/16 = 22.5 degrees

arc length = 2* 3.14 * 20 * (22.5 / 360)

Answer 13

Oh I see! Thanks so much!

Answer 14

yw

Answer 15

So 7.85 would be the right answer right?