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Mathematics 13 Online
OpenStudy (anonymous):

@paki

OpenStudy (anonymous):

A Ferris wheel car moves from point C to point D on the circle shown below: What is the arc length the car traveled, to the nearest hundredth? 7.91 feet 8.32 feet 10.99 feet 11.89 feet

hartnn (hartnn):

Can you convert 42 degrees into radians ?

OpenStudy (anonymous):

if you tell me how i can because i don't know how

hartnn (hartnn):

\(\Large \pi^r = 180^o \\ so, \\ \Large x^r= x^o \times \dfrac{\pi}{180}\)

hartnn (hartnn):

here x = 42

OpenStudy (anonymous):

okay so i do x degree 42/180?

OpenStudy (anonymous):

or 42 * x/180

hartnn (hartnn):

\(\Large x^r= 42 \times \dfrac{\pi}{180} =...\)

OpenStudy (anonymous):

i don't know how to do this can you teach me

hartnn (hartnn):

to convert degree angle in to radians, just multiply it by pi/180 so 42 degrees = 42*pi/180 radians you can use calculator to find the decimal value or keep it as is

hartnn (hartnn):

then you need, arc length, Arc length is just \(\Large r \theta \) theta is angle in radians which is 42pi/180 and r is the radius = diamerter/2 = 30/2 =15 Arc length = 15*42pi/180 = ... (use calculator) see if you get this...

OpenStudy (anonymous):

10.99?

hartnn (hartnn):

yep, thats correct arc length... :) rounded to 11

OpenStudy (anonymous):

so the answer is 10.99 and if you round its 11

hartnn (hartnn):

yup

OpenStudy (anonymous):

thanks

hartnn (hartnn):

welcome ^_^

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