# 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

MCQ
Sum
True or False

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?

• True

• False

#### Solution

This statement is False.

Explanation:

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

Concept: Areas of Sector and Segment of a Circle
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#### APPEARS IN

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