Find the area of the shaded field shown in figure if the length and breadth of rectangle
are 8cm and 4cm respectively and diameter of semicircle is 4cm.
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Redraw the figure and divide it into well known shapes. It is clear from the figure that there is one semicircle and one rectangle.
Rectangle Circle
l=8m r=6−4=2
b=4m
Area of shaded region = Area of rectangle + Area of semicircle
=l×b+
2
πr
2
=8+4+π×
2
2×2
=(32+2π)m
2
Hence, the required area of shaded region =(32+2π)m
2
.
solution
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