Draw circles with centres A, B and C each of radius 3 cm, such that each circle touches the other two circles.

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Solution

Radius of each circle = 3 cm

If two circles touch each other externally, then the distance between their centres is equal to the sum of their radii.

∴ AB = 3 cm + 3 cm = 6 cm

BC = 3 cm + 3 cm = 6 cm

CA = 3 cm + 3 cm = 6 cm

Draw a line seg AB = 6 cm.

With A as centre and radius = 6 cm, mark an arc.

With B as centre and radius = 6 cm, mark an arc intersecting the previous drawn arc at C.

Join AC and BC.

Now, with A, B and C as centres and radius = 3 cm, draw three circles.

It can be seen that, each circle touches the other two circles.

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