# Question: outcome can i explain how coordinate geometry connects properties of...

###### Question details

*Outcome: “Can I explain how Coordinate Geometry connects properties of geometric objects (points, circles, lines and parabolas) with properties of algebraic objects (equations, their forms and their solutions).”*

Determine the equation of the circle with:

a) Centre (1,2) and radius 3

b) Centre (−2,1) and passing through the point (4,2)

c) The segment joining the points (2,7) and (4,1) being a diameter

** if it is possible, could you please graph a) b) and c). Also, a step by step would be very helpful! **