Question

Question 81

Find the area of the shaded portion in the following figures.

Answer 1

Area of shaded portion=Area of trapezium-Area of rectangle-Area of circle
Area of trapezium=$=\frac{1}{2}\times \text{[Sum of parallel sides]}\times \text{Height}=\frac{1}{2}\times (120+160)\times 100=\frac{1}{2}\times 280\times 100=\frac{28000}{2}=14000c{m}^2\text{Area of rextangle=Length}\times \text{Breadth}=40\times 20=800c{m}^2\text{Area of circle=}\pi r^2=\frac{22}{7}\times 7\times 7=154c{m}^2\therefore \text{Area of shaded portion}=14000-800-154=13046c{m}^2$