# Math Help - Circle Problem

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.

Calculate $x = \sqrt{100-16}=\sqrt{84}$
Calculate $y = \sqrt{100-64}=\sqrt{36}=6$
$d = x-y = \sqrt{84}-6\approx 3.165...$