Question

14. In a rectangular field of side 40 m by 20 m,
four flower beds in the shape of quarter circle
and I rectangular flower bed were laid out
as shown in the figure. Find the area of the
remaining field (Use r = 3.14).
40 m
12 m
12 m
20 m​

Answer 1

Answer:

Is the answer 486 is yes then comment i will explain

Answer 2

length of rectangular field = L = 40 m

breadth of rectangular field = B = 20 m

Area of Rectangular field = LB = 40 × 20 = 800 sq.m

length( l ) and breadth ( b ) of rectangular flower bed = 12 m and 2 m.

Area of Rectangular flower bed = lb = 12 × 2 = 24 sq.m

4 quarter circles make a Circle.

so, 4 quarter circled flower beds together make

a circle flower bed.

2 quarter circles bisects the bredth of rectangular field .

so, radius = 20/2 = 10 m.

Area of circle =

$\pi {r}^{2} = 3.14 \times {(10})^{2} = 3.14 \times 100 = 314 {m}^{2}$

Area of 4 quarter circles together = 314 sq.m.

Area of the remaining field = Area of Rectangular field - ( area of rectangular flower bed + area of 4 quarter circles )

Area of the remaining field = 800 - ( 24 + 314 )

Area of the remaining field = 800 - 338

therefore, Area of the remaining field = 462 sq.m