Question 2653
Since the semi circles are on the edge of the square and each side of square is h
this implies that the diameter of the semi circle is equal to h
but the radius is r
=> 2r = h...........equation(1)
Now area of square with side h is h^2 ( length * breadth)


Area of circle is pi*r^2
so area of semi circle will be half of it = 1/2(pi*r^2)
Area of 2 semi circles will be => 2*1/2(pi*r^2)
=> pi*r^2

So total area will be
h^2 + pi*r^2

But from equation (1) r = h/2
substituting in the above equation value of r
=> h^2 + pi*(h/2)^2
=> h^2 + pi*h^2/4
=> (4h^2 + pi*h^2)/4
=> h^2(4+pi)/4