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

You are not logged in.

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,835
Website

### 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'
I'm not crazy, my mother had me tested.

Offline

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

Nehushtan
Member
Registered: 2013-03-09
Posts: 905
Website

I got

Blog

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,835
Website

### 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'
I'm not crazy, my mother had me tested.

Offline

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

bob bundy
Registered: 2010-06-20
Posts: 8,108

### 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

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

Offline

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

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,835
Website

### 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'
I'm not crazy, my mother had me tested.

Offline