Question

Find the area of the flower bed (with semi-circular ends) shown in figure.

Answer 1

Length and breadth of a flower bed are 38 cm and 10 cm respectively.

∴ Area of rectangle ACDF

= Length × Breadth

= (38 × 10) cm²

= 380 cm² 

Both ends of flower bed are semi-circles.

∴ Radius of semi-circle

= `"DF"/2`

= `10/2 "cm"`

= 5 cm

Now, area of one semi-circle

= `(π"r"^2)/2`

= `π/2(5)^2 "cm"^2`

= `(25π)/2 "cm"^2`

∴ Area of two semi-circles

= `2 xx (25π)/2`

= 25π cm²

∴ Total area of flower bed = Area of rectangle ACDF + Area of two semi-circles

= (380 + 25π) cm²