In Fig., the radius of quarter circular plot taken is 2 m and radius o

1.	In Fig., the radius of quarter circular plot taken is 2 m and radius of the flower bed is 2 m. Find the area of the remaining field.
Answer» Given that Radius of flower bed = 2 m Area of flower bed = πr² = π(2)² = 4π Radius of the quarter circular plot = 2 m Area of the quarter circular plot = (πr²)/4 Area of 4 quarter circular plots = 4 × (πr²)/4 = πr² = π(2)² = 4π We know that area of the rectangular region = Length x Breadth Area of the rectangular region = 8 x 6 = 48 m² Area of the remaining field = Area of the rectangular region – (Area of 4 quarter circular plots + Area of the flower bed) Area of the remaining field = 48 – (4π + 4π) = 48 – 25.14 = 22.86 m²

In Fig., the radius of quarter circular plot taken is 2 m and radius of the flower bed is 2 m. Find the area of the remaining field.

Answer»

Given that Radius of flower bed = 2 m

Area of flower bed = πr² = π(2)² = 4π

Radius of the quarter circular plot = 2 m

Area of the quarter circular plot = (πr²)/4

Area of 4 quarter circular plots = 4 × (πr²)/4

= πr²

= π(2)²

= 4π

We know that area of the rectangular region = Length x Breadth

Area of the rectangular region = 8 x 6 = 48 m²

Area of the remaining field = Area of the rectangular region – (Area of 4 quarter circular plots + Area of the flower bed)

Area of the remaining field = 48 – (4π + 4π)

= 48 – 25.14

= 22.86 m²