If the circles of radii 3.4 cm and 1.8 cm are drawn with their centres 1.6 cm apart, how do they touch each other? Why?

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Solution

The radii of the circles with centers C₁ and C₂ are r₁ = 3.4 cm and r₂ = 1.8 cm.

It is given that C₁C₂ = 1.6 cm

Here, r₁ – r₂ = 3.4 cm – 1.8 cm = 1.6 cm

We observe that the distance between the centers of the circles is equal to the difference of their radii. Hence, the circles touch each other internally.

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