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Mathematics 10 Online
OpenStudy (anonymous):

HELP PLEASE! WILL GIVE MEDAL!! A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 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 (anonymous):

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OpenStudy (anonymous):

circle is 360 :P

OpenStudy (anonymous):

360/24 = 15

OpenStudy (anonymous):

wait wait what do you mean? 15 is what?

OpenStudy (anonymous):

I'm sorry i'm really bad at math?

OpenStudy (anonymous):

hmm 15 is angle

OpenStudy (anonymous):

because we divided the whole circle in to 24 sectors

OpenStudy (anonymous):

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OpenStudy (anonymous):

arc length = center angle/ 360 * pi * diameter = 15/360 * 3.1415 * (15 * 2) here I multiplied radius by 2 to get the diameter arc length = 3.93 ft

OpenStudy (anonymous):

15 angle u get by 360/24

OpenStudy (anonymous):

really?

OpenStudy (anonymous):

so 15 is the radius AND the center angle?

OpenStudy (anonymous):

yup :) 15 radius is given :)

OpenStudy (anonymous):

okay, so at the end of your equation, the arc length is 3.93 feet, right?

OpenStudy (anonymous):

how would I find the area of the sector between two cars like it asked? o:

OpenStudy (anonymous):

yup :) Last part: Area of a Sector =theata/ 360 * pi * r^2 =15/360 * 3.1415 * (15^2)

OpenStudy (anonymous):

Area = 29.45 ft^2

OpenStudy (anonymous):

wait wait, what's theata mean? o:

OpenStudy (anonymous):

thank you for being so patient and helping me by the way you're the best :)

OpenStudy (anonymous):

haha it's ok :) theata is angle :)

OpenStudy (anonymous):

Welcome :)

OpenStudy (anonymous):

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OpenStudy (anonymous):

oh okay I got it now! thank you so much! :D

OpenStudy (anonymous):

Theata is usually used in geometry to indicate an angle :) Welcome :D

OpenStudy (anonymous):

Have a nice day :)

OpenStudy (anonymous):

oh and forgot to say :P "WELCOME TO OS" :D

OpenStudy (anonymous):

Thank you you have a nice day too!

OpenStudy (anonymous):

Welcome ^.^

OpenStudy (anonymous):

Enjoy your stay on OS :)

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