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

Agnishom
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From: The Complex Plane
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


'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'
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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: The Complex Plane
Registered: 2011-01-29
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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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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

bob bundy
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Registered: 2010-06-20
Posts: 6,469

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: The Complex Plane
Registered: 2011-01-29
Posts: 18,140
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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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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