A circle has the equation x2+y2=13x^2 + y^2 = 13x2+y2=13
Write down the coordinates of the centre of the circle.
Write down the exact length of the radius of the circle.
P P\,P is the point (2,3)(2, 3)(2,3) on the circle x2+y2=13x^2 + y^2 = 13x2+y2=13
Work out the equation of the tangent to the circle at PPP.