Question

From a rectangular metal sheet size, 20 cm by 30 cm, a circular sheet as big as possible is cut. Find the remaining sheet.

Answer 1

Diameter of largest circle$=$length of the smallest side of rectangle

Area of rectangle$=l\times b=30\times 20=600c{m}^2$

Area of circle$=\pi r^2=\pi {\left(\frac{d}{2}\right)}^2=\pi \times {\left(\frac{20}{2}\right)}^2=314.16c{m}^2$

Remaining area$=600-314.16$$=285.84c{m}^2$.