Find the equation of a circle in standard form given three points

How to find the equation of a circle in standard form given three points on the circle.

[kusumar.saptawara]

I am of the opinion that using general form of a circle x^2+y^2+Ax+By+C=0 is better and faster :
Passing through point (3, 3) to be 9+9+3A+3B+C=0 or 3A+3B+C+18=0 ... (1)
Point (7, 1) is getting 49+1+7A+B+C=0 or 7A+B+C+50=0 ...(2)
Point (0, 2) is getting 0+4+2B+C=0 or 2B+C+4=0 ...(3)
Substract (1) by (2) we get -4A+2B-32=0 or if divided by 2 for all sides we get -2A+B-16=0 ... (4)
Substract (1) by (3) we get 3A+B+14=0 ... (5)
Substract (4) by (5) we get -5A-30=0 or A=-6, .. (6)
Substitute (6) to (5) we get -18+B+14=0 or B=4 ... (7)
Substitute (7) to (3) we get 8+C+4=0 or C=-12 ... (8)
Substitute (6), (7), and (8) to general form we get :
x^2+y^2-6x+4y-12=0
x^2-6x+9+y^2+4y+4=12+9+4
(x-3)^2+(y+2)^2=25 is a circle with center (3, -2) and radius r=5

[misheeerfe]

thank you so much, I've been struggling for hours and luckily I saw your video.

[celinali]

could you subtract eq 2 from 1 and then eq 1 from 3? does the order matter?

[shemgadot]

NAYSKA SIR ASSIGNMENT NI NAMOSSS PRECAL AHHAHAHA COMMENDED

[mosesjere]

This method is brilliant thanks so much

[jhulianvonabarquezorcajada]

11 mins to solve 1 problem seems like a long time

[phirielliot]

Thank you so much sir for making me understand are a good teacher

[zagi]

I suppose this is for your students, Mr. Escol, as you're not doing any explanations, e.g. I haven't come across the formula you're using before - what can you say about it?

[kennethinoaquino]

what a good video students should know easier way to find the equation of circle without using the perpendicular bisector theorem

[johnthailerojastro]

Sir what is the answer for this -18h-6k+120=0 I already subtract Eq. 1 and 2 that’s my answer, Can you help me sir?

[wut]

Pwede po bang iequate na lang po yung equations sa isa't-isa since parehas naman po silang equal to r²? Parang magiging
h²+k²-14h-2k+50=h²+k²-4k+4

[chibernsvillarizavillariza]

Sir constant nanang mag multiply both sides ug -1/2 and 2/5?

[laeverses]

Si Samantha ni sir sa Grade 7 - Venus
( tung gi toungue twister akong name hehe )

[ronskie]

Sir kapag po negative yung nasa unahan imumultiply po sa -1/2 para maging positive?

[willvaine]

Sir bat 5 ? Pano nanging 5 yung sa malapit sa last part ? 7 tas naging 5 ? How :(