Question

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

Answer 1

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.

Explanation:

Given: Rectangle with length a cm and breadth b cm (a > b).

Step wise calculation:

1. The largest circle that fits must have its diameter along the shorter side; hence diameter = b.

2. Radius `r = b/2`.

3. Area = πr² 

= `π(b/2)^2`

= `(πb^2)/4`

The area of the largest circle = `(πb^2)/4 cm^2`.