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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

In two concentric circles, a chord of length 16 cm of larger circle becomes a tangent to the smaller circle whose radius is 6 cm. Find the radius of the larger circle. - Mathematics

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Question

In two concentric circles, a chord of length 16 cm of larger circle becomes a tangent to the smaller circle whose radius is 6 cm. Find the radius of the larger circle

Sum

Solution

Here AP = PB = 8 cm

In ∆OPA,

OA2 = OP2 + AP

= 62 + 82

= 36 + 64

= 100

OA = `sqrt(100)` = 10 cm

Radius of the larger circle = 10 cm

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Circles and Tangents
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Chapter 4: Geometry - Exercise 4.4 [Page 198]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 4 Geometry
Exercise 4.4 | Q 7 | Page 198
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