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Question

Radii of 2 circles are 16 cm and 8 cm. Find the distance between their centres if they touch internally.


A

8 cm

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B

2 cm

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C

4 cm

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D

24 cm

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Solution

The correct option is A

8 cm


Consider 2 circles, one with centre 'O', and another with 'O1'.

Radius of the bigger circle = r1 = 16 cm

Radius of the smaller circle = r2 = 8 cm

The 2 circles touch each other at X internally.

OX = r1 = 16 cm

O1X=r2 = 8 cm

Distance between their centres =OO1=XOXO1

=r1r2
= 16 - 8
= 8 cm


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