Find the area of the shaded region: r=sqrt (theta) theta between 0 and - 3pi/2

The equation r = square root of theta can be translated into a semi-circle through the simplification to r^2 = theta. When theta is 0, r is zero. When r is - 3pi/2, r2 is equal to 9/4 pi^2. The area of the semi-circle is equal to pi r^2 / 2. Hence the area is equal to 34.88 units^2