Two circles of radii $4 c m$ and $2 c m$ have their centres $10 c m$ apart. Draw a two direct common tangents and measure their length.

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Solution

Here $d = 10$ cm, $R = 4$ cm, $r = 2$ cm and $R - r = 4 - 2 = 2$ cm
For $C_{1}, C_{2}, C_{3}$ circles, distance between two centres of circles $- A B$ .
To find midpoint $C$ :
Construction of tangents $B D$ and $B E$
Construction of tangents $F H$ and $G I$
Length of tangents
$F H = G I = 9.7$ cm or $9.8$ cm

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