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Geometry Circumference

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18 Apr 2012, 17:42
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Re: Geometry Circumference [#permalink]

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18 Apr 2012, 18:36
From figure, AB = 5 inches

And triangle AOB is an equilateral triangle, because angle OAB = angle OBA

=> angle OAB = (180 - AOB )/2 = 60 degrees

Now, AB = OA = OB = 5 inches, because triangle AOB is an equilateral triangle

So radius of circle is 5 inches

And circumference = 2 * pi * 5

= 10pi

Hope this helps
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Re: Geometry Circumference [#permalink]

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18 Apr 2012, 19:20
In triangle AOB,

angle AOB=60,
OA=OB =radius of the circle therefore, angle OAB=angle OBA
thereby angle OAB=angle OBA = (180-angle AOB )/2 =60

Since all angles in the triangle are 60 , so it is an equilateral triangle with each side equal .
So, OA=OB=AB = 5

circumference = 2* pi *r = 10 pi

Ans :A
Re: Geometry Circumference   [#permalink] 18 Apr 2012, 19:20
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Geometry Circumference

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