11. Find the perimeter and the area of the figure, shown. (Take = Pie 22/7)
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Given,
Figure
side of square = 14cm
diameter of the semi circle = side of square = 14cm
To find,
Area and Perimeter of the figure
Solution,
radius of the circle = d/2
= 14/2
= 7cm
Area of the figure = area of square + area of 4 semi-circles
= side² + πr² + πr²
= 14² + (22/7 x 7 x 7) + (22/7 x 7 x 7)
= 196 + (22 x 7) + (22 x 7)
= 196 + 154 + 154
= 504cm²
The perimeter of the figure = perimeter of the 4 semi-circles
= 2πr + 2πr
= (2 x 22/7 x 7) + (2 x 22/7 x 7)
= (2 x 22) + (2 x 22)
= 44 + 44
= 88cm
Thus, the perimeter of the figure is 88cm and its area is 504cm²
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