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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 centers = OC = 5 + 2.8
= 7.8 cm.
(ii) When the circles touch internally,
then the distance between their centers = OC = 5.0 – 2.8
= 2.2 cm
If two circles with radii 8 cm and 3 cm, respectively, touch internally, then find the distance between their centers.
If two circles touch internally, then distance between their centers is the difference of their radii.
The distance between their centers = 8 – 3 = 5 cm
Concept: Touching Circles
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