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Radii of two circles are 6.3 cm and 3.6 cm. State the distance between their centres if: they touch each other externally, they touch each other internally.

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Question

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

  1. they touch each other externally,
  2. they touch each other internally.
Sum
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Solution

Radius of bigger circle = 6.3 cm

And radius of smaller circle = 3.6 cm

i.


Two circles are touching each other at P externally. O and O' are the centers of the circles. Join

OP and O'P

OP = 6.3 cm, O'P = 3.6 cm

Adding,

OP + O'P = 6.3 + 3.6 = 9.9 cm

ii. 


Two circles are touching each other at P internally. O and O' are the centers of the circles. Join

OP and O'P

OP = 6.3 cm, O’P = 3.6 cm

OO’ = OP – O’P = 6.3 – 3.6 = 2.7 cm

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Chapter 18: Tangents and Intersecting Chords - Exercise 18 (A) [Page 275]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 18 Tangents and Intersecting Chords
Exercise 18 (A) | Q 11. | Page 275
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