The+equation+of+the+circle+(H)

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Overview
In this outcome you have to:
 * given the centre (a, b) and radius r, find the equation of the circle in the form (x-a)² + (y-b)² = r²
 * find the radius and centre of a circle given the equation in the form x² + y² + 2gx + 2fy + c = 0
 * determine whether a given line is a tangent to a given circle
 * determine the equation of the tangent to a given circle given the point of contact

Resources


Ms Groves' SmartBoard slides -

Interactive circle grapher and notes: [] [] []

Given the centre (a, b) and radius r, find the equation of the circle in the form (x-a)² + (y-b)² = r² Find the radius and centre of a circle given the equation in the form x² + y² + 2gx + 2fy + c = 0 Determine whether a given line is a tangent to a given circle Determine the equation of the tangent to a given circle given the point of contact