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In the given figure, two concentric circles of radii 6 cm and 10 cm are shown. The length of BC is ______. - Mathematics

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Question

In the given figure, two concentric circles of radii 6 cm and 10 cm are shown. The length of BC is ______.

Options

  • 8 cm

  • 16 cm

  • 12 cm

  • 4 cm

MCQ
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Solution

In the given figure, two concentric circles of radii 6 cm and 10 cm are shown. The length of BC is 8 cm.

Explanation:

AP is a tangent to the inner circle, so OP⊥ AP. Using the tangent–radius property:

AB = `10^2 −  6^2`

AB = `sqrt64` 

AB = 8 cm

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Chapter 15: Circles - Exercise 15C [Page 358]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 15 Circles
Exercise 15C | Q 5. | Page 358
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