if area of square is Z area of largest circle just fit inside
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It is 1/4*base2*(vertical height)2 in units of length to the fourth power. If the lengths of the sides are X, Y and Z, then the area squared is (X + Y + Z)*(- X + Y + Z)*(X - Y + Z)*(X + Y - Z)/16
There are many different ways, depending on what information you have and in what form.If you know two sides, x and y, and the included angle Z then the area is 1/2*x*y*sin(Z).If you know all three sides, x, y and z then use Heron's formula. Calculate s = (x + y + z)/2 then area = sqrt[s*(s-x)*(s-y)*(s-z)]If you have the coordinates of the vertices, then the area is the determinant of the 3x3 matrix formed by the coordinates and a row (or column) of 1s.
The points of X Y and Z are not quite exactly defined as for example for Y do you mean (2, 14) or (21, 4) but in general by using the formula x^2 +2gx +y^2 +2fy +c = 0 and by completing the squares the equation of the circle can be found.
If the lengths of the edges are x, y and z units, then the total surface area is 2*(xy + yz + zx).