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The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is ______.

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Question

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is ______.

Fill in the Blanks
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Solution

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is 28 cm.

Explanation:

Circumference = π·d.

Sum of given circumferences = 36π + 20π

= 56π

= π·D

So diameter D = 56 cm and radius r = `D/2` = 28 cm.

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Chapter 13: Areas Related to Circles - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 13.47]

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R.D. Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 7. | Page 13.47
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