Question

From a circular card sheet of radius $14$ cm, two circles of radius $3.5$ cm and a rectangle of length $3$ cm and breadth $1$ cm are removed. Find the area of the remaining sheet .

Answer 1

$R=14$ cm

total area$=\pi r²$

$=\frac{22}{7}\times 196=616$ cm²

$r=3.5$ cm

area of the small circles$=2\times \pi r²=2\times 12.25\times 22/7=77$ cm²

length of rectangle$=3$

breadth$=1$

area $=lb=3$ cm²

area of the small circles+area of rectangle$=77+3=80$ cm²

remaining area$=616-80=536$ cm²