A point moving around a circle $x^2+y^2+8x+4y-5=0$ with center $C$ broke away from it either at the point $A$ or at the point $B$ on the circle and moved along a tangent to the circle passing through the point $D(3,-3).$FInd the area of the quadrilateral $ABCD.$
We can take the point $D$ either on the tangent passing through point $A$ or the tangent passing through point $B$.I took $D$ on the tangent passing through point $A$.Area of quadrilateral $ABCD=$area of triangle $ACD+$ area of triangle $BCD.$I found the area of triangle $ACD=\frac{25}{2}$,but i cannot find the area of triangle $BCD.$
Please help me.
