question_answer

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 (as shown in figure). Find the area of the remaining sheet. \[\left( Take\,\pi \,=\frac{22}{7} \right)\]

Answer:

Area of the remaining sheet = Area of the circular card sheet ? 2 × Area of small circle ? Area of the rectangle \[=\frac{22}{7}\times 14\times 14-2\times \frac{22}{7}\times {{(3.5)}^{2}}-3\times 1\] = 616? 77 ? 3 \[=536\text{ }c{{m}^{2}}\]