Question

Find the area of the biggest circle that can be cut from a rectangular piece 44cm by 28cm. also, find the area of the paper left after cutting out the circle.

Answer 1

The area of a rectangle with length l and breadth b = A = l x b
The area of a rectangle with length 44cm and breadth 28cm
= A
= 44 x 28
= 1232cm²
The largest circle that can be cut from a rectangle of length 44cm and breadth 28cm can have diameter 28cm or radius `(28)/(2)` = 14cm
The Area of a Circle with radius r = πr²
The Area of a Circle with radius 14
= π(14)²
= 616cm²
Remaining area 
= 1232cm² - 616cm²
= 616cm².