Describe parametric equation of a circle

A circle is the locus of points that moves in a plane such that its distance from a fixed point is always constant. The fixed point is called the ‘centre’ while the fixed distance is called the ‘radius’.

Parametric equation of circle

A parametric equation of a circle is the coordinates of a point on the circle in terms of a single variable. These single variables are called as parameter.

Equation of circle = x2 + y2 = r2

X = r cos

Y = r sin

Squaring both side

x2 + y2 = (r2 cos Ɵ + r2 sin2Ɵ)

= r2 (cos2 Ɵ + sin2 Ɵ)

x2 + y2 = r2

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