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State true or false.

The area of the largest circle that can be drawn inside a rectangle of length $a$ cm and breadth $b$ cm $(a > b)$ is $π b 2 cm 2$ .

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True

False

answer is B.

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Detailed Solution

It is given that, a rectangle of length

a

cm and breadth

b

(a > b)

.
The circle inscribed in a rectangle of length

a

and breadth

b

such that

a > b

, which means circle touches the side of length and diameter of the circle is equal to

b

.
The area of the circle with

b

as diameter is equal to,

= π (b 2) 2

= π b 2 4

The correct statement is that the area is

π b 2 4

and not

π b 2

.
Hence, the statement is false.
Therefore, option 2 is correct.

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