Area of a shaded region 2 = ?
Soln
From the diagram:
- The diagonal of the square = √98
- A square’s diagonal = side × √2
So,
Side = √98 / √2 = √49 = 7 m
Area of the square
Area2 = 7×7 = 49 m2
Area of the quarter circle
Radius of the circle = side of square = 7 m
Quarter circle area:
Areaquarter =14πr2 =1/4×22/7×49
= 22/7 × 49/4 = 22 × 7/4 = 154/4 = 38.5
Shaded area
Shaded = Square area - Quarter circle area
= 49 - 38.5 = 10.5 m2
Ans: 10.5 m²