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Is the area of the largest circle that can be drawn inside a rectangle of length a cm and breadth b cm (a > b) is πb2 cm2? Why? - Mathematics

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Question

Is the area of the largest circle that can be drawn inside a rectangle of length a cm and breadth b cm (a > b) is πb2 cm2? Why?

Sum

Solution

The largest circle that can be drawn inside a rectangle is possible when rectangle becomes a square.

∴ Diameter of the circle = Breadth of the rectangle = b

∴ Radius of the circle = `"b"/2`

Hence area of the circle = πr2 = `π("b"/2)^2`

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Chapter 11: Area Related To Circles - Exercise 11.2 [Page 123]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 11 Area Related To Circles
Exercise 11.2 | Q 11 | Page 123

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