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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

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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.

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.

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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