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The diameter of a circle is 14 cm. If it is doubled, the perimeter of the resulting circle will become ______.

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Question

The diameter of a circle is 14 cm. If it is doubled, the perimeter of the resulting circle will become ______.

Options

  • four times

  • doubled

  • halved

  • three times

MCQ
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Solution

The diameter of a circle is 14 cm. If it is doubled, the perimeter of the resulting circle will become doubled.

Explanation:

The perimeter (circumference) of a circle is given by \[2\pi r\] (or \[\pi d\]). Since circumference is directly proportional to the diameter, doubling the diameter of the circle will cause its perimeter to be doubled as well.

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Chapter 19: Area and Perimeter of Plane Figures - Exercise 19 (C) [Page 289]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 19 Area and Perimeter of Plane Figures
Exercise 19 (C) | Q 1. (b) | Page 289
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