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