Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #1 2013-03-13 13:00:51

Agnishom
Real Member

Online

### 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'
'The whole person changes, why can't a habit?' -Alokananda

Nehushtan
Power Member

Offline

I got

## #3 2013-03-13 13:38:44

Agnishom
Real Member

Online

### 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'
'The whole person changes, why can't a habit?' -Alokananda

## #4 2013-03-13 19:35:37

bob bundy
Moderator

Online

### 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

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #5 2013-03-13 20:33:04

Agnishom
Real Member

Online

### 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'
'The whole person changes, why can't a habit?' -Alokananda