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Equation of Circle and Distance Formula

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How to find the equation of the circle given 3 points on the Circumference?

Equation of a circle
Example:
Find the equation of a circle with centre (4,-2) and radius 3. Equation of a Circle given 3 points on the Circumference
Example:
Find the equation of a circle given 3 points on the circumference: (-1.5), (3,5), (3,-1) Example 2 : Equation of a Circle given 3 points on the Circumference
Example:
Find the equation of a circle given 3 points on the circumference: (-2.2), (5,1), (-2,-6)



Equation of a Circle : C2 Edexcel June 2012 Q3(a)(b)
Example:
The circle C with centre T and radius r has equation
x2 + y2 - 20x - 16y + 139 = 0
(a) Find the coordinates of the centre of C.
(b) Show that r = 5. Equation of a Circle : C2 Edexcel June 2010 Q10(a)
Example:
The circle C has centre A(2,1) and passes through the point B(10,7).
Find an equation for C. A-Level Maths Edexcel C2 January 2007 Q3
Equation of a circle given 2 points on the diameter.
Example:
Find the equation of a circle given 2 points on the diameter: (-1,4) and (3,6)

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