Question

if two circle have radii 10cm and 15cm and they touch each other find the distance between their centre​

Answer 1

Answer:

Let the radii of the circles be r1 and r2

r1=10cm and r2=15cm

By theorem of touching circles, the centres and point of contact are collinear . Here there can be two cases.

Case 1:

The circles touch each other externally

Distance between their centres =r1+r2

=10+15

=25cm

Case 2 :

The circle touch each other internally

Distance between their centres =r2-r1

=15-10