This is the basic and conceptual question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15
We have two circles of radii 5 cm and 2-8 cm touch each other and we have to find the distance between their centres if they touch : (i) externally (ii) internally.
ICSE Avichal publication
Understanding ICSE Mathematics
Question 5, exercise 15.3
Solution:
Radii of the circles are 5 cm and 2.8 cm.
i.e. OP = 5 cm and CP = 2.8 cm.
(i) When the circles touch externally,
then the distance between their centres = OC = 5 + 2.8 = 7.8 cm.
(ii) When the circles touch internally,
then the distance between their centres = OC = 5.0 – 2.8 = 2.2 cm