The area of the circle that can be inscribed in a square of side 6 cm, is ______. - Mathematics

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MCQ
Fill in the Blanks

The area of the circle that can be inscribed in a square of side 6 cm, is ______.

Options

  • 36π cm2

  • 18π cm2

  • 12π cm2

  • 9π cm2

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Solution

The area of the circle that can be inscribed in a square of side 6 cm, is `underline(bb(9 pi  "cm"^2))`.

Explanation:


Given, side of square = 6 cm

∴ Diameter of a circle, (d) = Side of square = 6 cm

∴ Radius of a circle (r) = `d/2 = 6/2` = 3 cm

∴ Area of circle = π(r)2

= π(3)2

= 9π cm2

Concept: Area of Circle
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 11 Area Related To Circles
Exercise 11.1 | Q 7 | Page 121

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