Coordinate Geometry: Circles

Equations of CirclesSign up

understand and use the equation of a circle (x - a)^2 + (y - b)^2 = r^2, including completing the square to find the centre and radius from a general second-degree form

Geometric Properties of CirclesSign up

be able to find equations of tangents and chords to a circle and solve problems using the perpendicularity of a tangent to the radius at the point of contact · understand and use the standard circle theorems: angle in a semicircle, perpendicular from centre bisects chord, tangent perpendicular to radius