The Maths Prof: Finding Centre & Radius of Circles from Equations

In this lesson I show you how to find the centre coordinates and radius of circles when you are given the equation of the circle. The first few equations in my examples are given in completed square form and later on, I show you what to do when they're not in completed square form. The questions I have used are as follows - in case you want to skip along to something harder! :-)
Question 1: (x-3)² + (y-6)² = 25 01:17
Question 2 : (x+2)² + (y-1)² = 1 02:33
Question 3 : x² + y² = 16 03:31
Question 4 : 2(x-3)² + 2(y+4)² = 128 04:12
Question 5 : x² + y² + 10x - 8y - 40 = 0 05:32
Question 6 : 2x² + 2y² - 14x - 10y - 163 = 0 08:35
Question 7 : x² + y² + 6x - 10y - 2 = 0 12:29 Try yourself! 😄
Related lesson which you may find useful👇
🌟 Completing the Square • The Maths Prof: Comple...
I hope that you find the lesson helpful. Subscribe to my KZbin channel The Maths Prof to keep up to date with new uploads and follow me on Instagram @themathsprof for more maths! :-)

[@anasmohamed7362]

I was stuck with this in AS Maths and this helped alot ❤️ Keep going Prof

[@NokulungaMacu-uq8qu]

Thank you 🎉🎉😊

[@anitavijeshwar9959]

Thank u for this lesson

[@SpeedySpeedBoy14]

is the answer to the final Question (at the end of the video) , (-3 , +5) and r=6?

[@HamzamoussaI]

Thank you You are the best ❤

[@TheMathsProf]

You're welcome 😊

[@anitavijeshwar9959]

Miss please lesson on circle theorems

[@TheMathsProf]

Ok coming soon 😁👍

[@anitavijeshwar9959]

@@TheMathsProf Thank you very much.

[@AnonymousPrince-h9y]

Mam ye konci book se parha rahi hain aap

[@kolapoadesuwa8215]

I love 💘 you video a looooooooooot