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Mathematics 18 Online
OpenStudy (igreen):

Check my work..?

OpenStudy (igreen):

This stuff is really easy, but I just wanna know if I did everything right..

OpenStudy (igreen):

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. You must show all work and calculations to receive credit.

OpenStudy (igreen):

My work: The central angle will be 360/16 or 22.5. The arc length will be Circumference/16. Circumference = 2 pi r C = (2)(3.14)(20) C = (6.28)(20) C = 125.6 So the arc length is 125.6. Area of sector is Area of circle/16 Area = pi r^2 A = (3.14)(20^2) A = (3.14)(400) A = 1256 So the area of the sector is 1256/16 or 78.5.

OpenStudy (igreen):

@SolomonZelman

OpenStudy (anonymous):

I got 78.5 So yes you are correct.

OpenStudy (igreen):

Thanks, but that's not the whole question..

OpenStudy (kamibug):

I think you forgot to divide the circumference by 16 to get your arc length... :)

OpenStudy (igreen):

Oh, that's right..lol. :P

OpenStudy (igreen):

I believe that's it..

OpenStudy (solomonzelman):

yes, it really seems like the steps preformed are correct. Unless there is a mistake in calculating, but otherwise everything should be fine!

OpenStudy (igreen):

Thanks!

OpenStudy (igreen):

I thought that arc length was a bit big xD

OpenStudy (kamibug):

Haha! ^.^

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