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