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

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

Answers (1)

If we observe the figure

 

We found that there is a rectangle and two semi-circles in it.

 The length and breadth of a rectangle is 38cm and 10cm respectively,

Area of rectangle =l \times b =38 \times 10=380 cm^{2}

Diameter of semi-circle = 10cm

Radius of semi-circle=\frac{10}{2}=5 cm

 Area of semi-circle=\frac{1}{2}\pi r^{2}=\frac{1}{2} \times 3.14 \times 25=39.25 cm^{2}

Hence the total Required area = Area of rectangle + 2(Area of semi-circle)

                                            \\=380+2 \times 39.25\\ =380+78.5\\ =458.5 cm^{2}                                          

                                               

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