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Mathematics 13 Online
OpenStudy (anonymous):

HOW TO FIND LENGTH OF AN ARC Find the length of arc ACB.

OpenStudy (anonymous):

hartnn (hartnn):

Length of arc \(L = r \theta\) r= radius , \(\theta \) is the inscribed angle in RADIANS so, first convert that 20 degrees into radians and use this formula :)

OpenStudy (anonymous):

So the answer would be 200?

OpenStudy (anonymous):

Since the radius is 10 and the angle is 20

hartnn (hartnn):

no .no....20 is in degrees, convert it in radians....

hartnn (hartnn):

you know how to convert to radians from degrees?

OpenStudy (anonymous):

No. please show me?

hartnn (hartnn):

sure, \(\large x^o=(x \times\pi/180)^r\) just multiply by pi/180 20*pi/180 =... ?

OpenStudy (anonymous):

0.34906585039886591538473815369772

hartnn (hartnn):

how about we give the answer in terms of pi ? 20*pi/180 = pi/9 got it ? or if you don't want the answer in terms of pi, use that 0.349 and multiply it by radius =10 to get the length of arc....

OpenStudy (anonymous):

I'm sorry I still don't get it.

hartnn (hartnn):

ohh...which part ? 20 degrees = (20*pi/180) radians L = 10 * (20*pi/180) = .... ?

OpenStudy (anonymous):

Is that the arc formula?

hartnn (hartnn):

length of arc formula L = inscribed angle (in radians)* radius

OpenStudy (anonymous):

Its not on the answer choices

hartnn (hartnn):

list the answer choices...

OpenStudy (anonymous):

a) Arc ACB = 49.21 ft b) Arc ACB = 33.97 ft c) Arc ACB = 61.18 ft d) Arc ACB = 59.31 ft

hartnn (hartnn):

ohhh...so u need arc ACB....then your inscribed angle will be 360-20 = 340 and not 20 L = 10 * (340*pi/180) = .... ?

OpenStudy (anonymous):

59.31

hartnn (hartnn):

yes :)

OpenStudy (anonymous):

THank you

OpenStudy (anonymous):

@hartnn another question

hartnn (hartnn):

your welcome ^_^ thanks for the testimony :) sure! do ask.....

OpenStudy (anonymous):

find m<LKJ

hartnn (hartnn):

okk...total arc (one full circle) =360 so, 216+52 + LJ =360 first find LJ from here...

OpenStudy (anonymous):

lj = 92?

hartnn (hartnn):

yes. :)

OpenStudy (anonymous):

a) 108 degrees b) 26 degrees c) 46 degrees d) none of these

OpenStudy (anonymous):

Is it D?

hartnn (hartnn):

now use this : |dw:1371665093273:dw| so u just need to multiply 92 by 1/2 ....

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