Question

Two circles of radii 5.5 cm and 4.2 cm touch each other externally. Find the
distance between their centres.
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Answer 1

Hey mate, here is your answer :-

The distance between the centres is 9.7 cm.

Step- by - step explanation :-

Let the radii of the two circles be r1 and r2. r1 = 5.5 cm & r2 = 4.2 cm. ...... (Given)

The two circles are touching each other externally.

So, By theorem of touching circles,

the centres and the point of contact are collinear.

The distance between the centres of the circles touching externally is equal to the sum of their radii.

So, Distance between their centres

$= r1 + r2 = 5.5 + 4.2 = 9.7 \: cm$