1. ## Circle Problem

Helping my little brother's homework.

A circle of diameter 20cm has two parallel chords of length 8cm and 16cm.
Calculate the shortest distance between these chords.

2. Originally Posted by r_maths
Helping my little brother's homework.

A circle of diameter 20cm has two parallel chords of length 8cm and 16cm.
Calculate the shortest distance between these chords.

See attachment.

You are dealing with 2 different right triangles.

Calculate $x = \sqrt{100-16}=\sqrt{84}$

Calculate $y = \sqrt{100-64}=\sqrt{36}=6$

The distance between the parallels is:

$d = x-y = \sqrt{84}-6\approx 3.165...$