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how can we find the radius of a circle if we know three points that lie on it. let those points be (a,b), (c,d), (e,f). Please teach me how to do these types of questions. Thank you

 
how can we find the radius of a circle if we know three points that lie on it. let those points be (a,b), (c,d), (e,f). Please teach me how to do these types of questions.
Thank you

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1 Answers

Aman Bhambra
31 Points
8 years ago
write the general equation of the circle x2+y2+2gx+2fy+c=0
put the point which satisfies the equation of the circle here you have given it to be (a,b), (c,d), (e,f) then solve the equations for g and f and c then the radius of the circle will be (g+f2 -c)1/2 .

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