Centre and Radius of a circle
Centre and Radius of a circle (Question)
From the of the circles equations, determine the radius and also the centre.
- 52 = x2 + y2
- 1 = x2 + y2 – 4x – 4y
Guide:
The equation of a circle
(x-a)2 + (y-b)2 = r2
Where
- Center = (a,b)
- Radius = r
General form of circle equation
ax2 + by2 + cx + dy + h = 0
From General form of circle equation to The equation of a circle:
Perform completing the square on the two variables in the equation.
Centre and Radius of a circle (Answer)
- Radius = 5, Centre = (0,0)
- Radius = 3, Centre = (2,2)
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