Two circles of radii $13 c m$ and $5 c m$ touch each other internally. The distance between their centres is _____.

6 cm

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7 cm

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18 cm

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8 cm

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Solution

The correct option is D 8 cm

Given:
AB = 13 cm [Radius of the circle having centre A] and
BC = 5 cm [Radius of the circle having centre C]

Distance between their centres =AC

$\Rightarrow$ AC = AB – BC = 13 – 5 = 8 cm

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Similar questions

Radii of two circles are 6.3 cm and 3.6 cm. State the distance between their centres if :

(i) they touch each other externally,

(ii) they touch each other internally.

13 c m

5 c m

5 c m

3 c m

Two circles of radii 13 cm and 5 cm touch each other internally. The distance between their centres will be 8 cm.

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