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WEEK ONE
CONIC-SECTION: THE CIRCLE 1
CONTENT
(a) Definition of circle
(b) Equation of Circle Given Centre and Radius
(c) General Equation of a Circle
SUB TOPIC: DEFINITION OF A CIRCLE
A circle is the set of all points in a plane at a fixed positive distance (radius) from a fixed point (centre).
A circle is also a plane curve which is the locus of a point which moves at a fixed distance from a fixed point.
The fixed distance is called the radius of the circle while the fixed point is called the centre of the circle.
SUB TOPIC: EQUATION OF A CIRCLE OF GIVEN CENTRE AND RADIUS.
The standard form for an equation of a circle is a direct consequence of the definition and length formula.
Let the centre of the circle be at a fixed point C (h,k) and the length of the radius be equal to r. Then if P (x, y) be the moving point on the circle, we have by definition.
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