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?

Answer 1

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`