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 πb²cm? Why?

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 πb 2 cm? Why?

Philoid · Accepted Answer

False

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

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 πb2cm? Why?