Find the area (in cm
2
) of a circle with a maximum radius that can be inscribed in a rectangle of length 18cm and breadth 12cm.

The maximum sized circle that can fit inside a rectangle is limited by the shorter side of the rectangle (the breadth). If it exceeded that width, it would extend outside the boundaries of the rectangle.
Thus:

Diameter of the circle (d)=Breadth of the rectangle=12cm
Radius of the circle (r)=
2
12
​
=6cm
Now, compute the area of the circle:

Area=πr
2
=π×(6)
2
=36πcm
2