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#1 2013-03-12 14:00:51

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
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Thr Circle and Two Parallel Chords

AB and CD are two parallel chords in the same circle measuring 5 cm and 11 cm respectively.
If, the distance between AB and CD is 6 cm
Then find out the radius of the circle


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#2 2013-03-12 14:23:10

Nehushtan
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Registered: 2013-03-09
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Re: Thr Circle and Two Parallel Chords

I got


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#3 2013-03-12 14:38:44

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,940
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Re: Thr Circle and Two Parallel Chords

How to solve?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#4 2013-03-12 20:35:37

bob bundy
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Registered: 2010-06-20
Posts: 7,182

Re: Thr Circle and Two Parallel Chords

See diagram.

The perpendicular bisector of any chord goes through the centre of the circle (prove by congruency) and as the chords are parallel , FGE is a straight line.

So FG = x => GE = 6 - x

Get expressions for R using Pythagoras on AFG and also CEG.

Eliminate x and find R

Bob

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#5 2013-03-12 21:33:04

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,940
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Re: Thr Circle and Two Parallel Chords

Thanks I can do it now


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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