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