Mathematics
Two circles of radii 5 cm and 2.8 cm touch each other. Find the distance between their centres if they touch
(i) Externally
(ii) Internally
Circles
ICSE
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Answer
(i) From figure,
![Two circles of radii 5 cm and 2.8 cm touch each other. Find the distance between their centres if they touch Externally. Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/mla10/q5-i-c15-3-circles-ml-aggarwal-solutions-icse-class-10-1200x767.png)
OC = OP + PC = 5 + 2.8 = 7.8 cm
Hence, the distance between centres of circle = 7.8 cm when circles touch externally.
(ii) From figure,
![Two circles of radii 5 cm and 2.8 cm touch each other. Find the distance between their centres if they touch Internally. Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/mla10/q5-ii-c15-3-circles-ml-aggarwal-solutions-icse-class-10-1170x1271.png)
OC = OP - CP = 5 - 2.8 = 2.2 cm.
Hence, the distance between centres of circle = 2.2 cm when circles touch internally.
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