How do you write the equation in standard form of the circle for; endpoints of the diameter A(14, -7) and B(-10,9)?
The general form of a circle centred at
So we first need to find the radius and the centre before we can find the equation.
Length of diameter will be distance between its endpoints.
Therefore the radius
This implies that
The centre of the circle will be the midpoint of the diameter, ie
Therefore the standard equation of this circle will be