Find the area of the flower bed (with semi-circular ends) shown in figure.
Length and breadth of the rectangular portion AFDC of the flower bed are 38 cm and 10 cm respectively.
Area of the flower bed = Area of the rectangular portion + Area of the two semi-circles.
∴ Area of rectangle AFDC = Length × Breadth
= 38 × 10 = 380 cm2
Both ends of flower bed are semi-circle in shape.
∴ Diameter of the semi-circle = Breadth of the rectangle AFDC = 10 cm
∴ Radius of the semi circle = 10/2 = 5 cm
Area of the semi-circle = πr2/2 = 25π/2 cm2
Since there are two semi-circles in the flower bed,
∴ Area of two semi-circles = 2 × (πr2/2) = 25π cm2
Total area of flower bed = (380 + 25π) cm2
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