The diagram shows a sketch of the circle C with centre P. The circle has equation (x-2)^2+(y+3)^2=25. Write down the coordinates of P. State the name of the radius of C.

P (2,-3), r = 5

Step-by-step explanation:

The equation of a circle is written as

where:

a is the x-coordinate of the centre of the circle

b is the y-coordinate of the centre

r is the radius of the circle

In this problem, the equation of the circle is:

By comparing the two equations, we find that:

So, the coordinates of the centre P are

P (2,-3)

Also, we see that

So, the radius of the circle is 5.