For the circle $x^2 + y^2 + 6x - 8y + 9 = 0$,which of the following statements is true?

Suppose $ABCDEF$ is a hexagon such that $AB=BC=CD=1$ and $DE=EF=FA=2$. If the vertices $A, B, C, D, E, F$ are concyclic,the radius of the circle passing through them is

$A$ circle is inscribed in an equilateral triangle of side length $6$. Find the area of the square inscribed in this circle.

$A$ circle with radius $12$ lies in the first quadrant and touches both the axes. Another circle has its centre at $(8, 9)$ and radius $7$. Which of the following statements is true?

Two tangents are drawn from the point $P(-1, 1)$ to the circle $x^{2}+y^{2}-2x-6y+6=0$. If these tangents touch the circle at points $A$ and $B$,and if $D$ is a point on the circle such that the lengths of the segments $AB$ and $AD$ are equal,then the area of the triangle $ABD$ is equal to:

The diameter of a circle is $AB$ and $C$ is another point on the circle. Then the area of triangle $ABC$ will be: