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#1 2013-03-13 13:00:51

Agnishom
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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'
'Who are you to judge everything?' -Alokananda

#2 2013-03-13 13:23:10

Nehushtan
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Re: Thr Circle and Two Parallel Chords

I got


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#3 2013-03-13 13:38:44

Agnishom
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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'
'Who are you to judge everything?' -Alokananda

#4 2013-03-13 19:35:37

bob bundy
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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 2013-03-13 20:33:04

Agnishom
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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'
'Who are you to judge everything?' -Alokananda

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