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All, Any one knows how to calculate the length of an arc in

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All, Any one knows how to calculate the length of an arc in [#permalink] New post 28 Oct 2006, 08:28
All,
Any one knows how to calculate the length of an arc in a circle - All the info we are given are that the tranversal between the chord and the parallel diameter intersects the diameter at angle of 35 degrees and the diameter is 18? This was a question from GMATPrep I was stumped on. Appreciate the help !!

Thanks
J
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 [#permalink] New post 28 Oct 2006, 09:51
You should give more details

in general the length is 2*pi*r*x/360, where x is the angle corresponding to the arc length within the circuference. A circureference is an arc of 360 degrees...
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 [#permalink] New post 28 Oct 2006, 12:43
I think I have seen a question like this one before.

Official Guide 11th Edition, PS Question 206, Pg 180.

The trick is that Minor arcs have twice the measure of their inscribed angles. So in other words, if the angle is 35 then the minor arc will be 70.
I think that should help you out.

Would love to explain in more detail but honestly you need to have the figure in front of you.
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 [#permalink] New post 28 Oct 2006, 13:42
Quote:
Any one knows how to calculate the length of an arc in a circle - All the info we are given are that the tranversal between the chord and the parallel diameter intersects the diameter at angle of 35 degrees and the diameter is 18? This was a question from GMATPrep I was stumped on. Appreciate the help !!


a) C = 18pi

b) 35 degree angle /360 degrees in a circle

c) 7/72 * 18pi = 14/8 = 7/4 .... which seems wrong
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Re: Length of an arc [#permalink] New post 29 Oct 2006, 20:20
jaidip wrote:
All,
Any one knows how to calculate the length of an arc in a circle - All the info we are given are that the tranversal between the chord and the parallel diameter intersects the diameter at angle of 35 degrees and the diameter is 18? This was a question from GMATPrep I was stumped on. Appreciate the help !!

Thanks
J


Can you please post the entire question or the screenshot of it? That we can look at the answer choices as well.
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Re: Length of an arc [#permalink] New post 29 Oct 2006, 20:32
jaidip wrote:
All,
Any one knows how to calculate the length of an arc in a circle - All the info we are given are that the tranversal between the chord and the parallel diameter intersects the diameter at angle of 35 degrees and the diameter is 18? This was a question from GMATPrep I was stumped on. Appreciate the help !!

Thanks
J

I think I remember that question. The thing is that half of the arc takes 70 degrees out of the O, so 140 degrees are covered, but u need to find the perimeter from 180-140 = 40 degrees, which is 1/9 of the O's perimeter (1/9 of the 360 degrees). Use the diameter, and u will get that the minor arc comes out to 2pi.
Re: Length of an arc   [#permalink] 29 Oct 2006, 20:32
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