Definition, equation, Formula, Solved Example Problems, Exercise | Mathematics - Circles | 11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry

Chapter: 11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry

Circles

A circle is the locus of a point which moves in such a way that its distance from a fixed point is always constant.

Circles

 

1. The equation of a circle when the centre and radius are given.

Let C(h, k) be the centre and ‘r’ be the radius of the circle
Let P(x, y) be any point on the circle




 

2. Equation of a circle when the end points of a diameter are given



 

3. General equation of a circle








 

4. Parametric form of a circle

Consider a circle with radius r and centre at the origin. Let P (x, y) be any point on the circle. Assume that OP makes an angle iwith the positive direction of x-axis.


 

5. Tangents




 

Length of the tangent to the circle







 


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11th Business Mathematics and Statistics(EMS) : Chapter 3 : Analytical Geometry : Circles | Definition, equation, Formula, Solved Example Problems, Exercise | Mathematics

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