Question

Draw two circles of radii 3.4 cm and 1.8 cm with their centres 5.2 cm apart. How do these circles touch each other? and why?

Answer 1

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 = 5.2 cm.

Here, r₁ + r₂ = 3.4 cm + 1.8 cm = 5.2 cm

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