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If the radius of a circle is doubled, then its area will become ______.

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Question

If the radius of a circle is doubled, then its area will become ______.

Options

  • doubled

  • halved

  • four times

  • three times

MCQ
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Solution

If the radius of a circle is doubled, then its area will become four times.

Explanation:

The area of a circle is proportional to the square of its radius (πr2). When the radius is doubled (2r), the new area becomes π(2r)2 = 4πr2, which is four times the original area.

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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. (d) | Page 289
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