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anonymous
 one year ago
will give medal and fan please help
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.
anonymous
 one year ago
will give medal and fan please help 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.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the wheel with 20 cars looks like http://www.uer.ca/forumpic/perspic/c2e2e83f7e21539f891d1e5e0723156f.jpg each car in each vertex, or corner keeping in mind that a circle has 360 degrees, how many degrees would there be between each vertex or corner, or in this case, each car?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeap 360/20 is 18 so there's your central angle, 18 degrees :) now, we know the radius is 25 the central angle is 18 so, what's the arc's length? well \(\bf \textit{arc's length}=\cfrac{r\theta\pi }{180}\qquad \begin{cases} r=25\\ \theta=18 \end{cases}\implies \cfrac{25\cdot 18\cdot \pi }{180}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0to get the sector of that radius, with that angle \(\bf \textit{sector of a circle}=\cfrac{r^2\theta\pi }{360}\qquad \begin{cases} r=25\\ \theta=18 \end{cases}\implies \cfrac{25^2\cdot 18\cdot \pi }{360}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so would the answer for arc length be 0.43?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and the sector would it be 98.17?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmmm ahemm nope https://www.google.com/search?client=opera&q=25*18*pi/180&sourceid=opera&ie=utf8&oe=utf8&channel=suggest&gws_rd=ssl

anonymous
 one year ago
Best ResponseYou've already chosen the best response.098.17 for the sector is correct

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much thats it right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay can you help me with another problem please

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sure, just post a new, more eyes, thus if I dunno, someone else may know
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