Centre and Radius of a circle
From the of the circles equations, determine the radius and also the centre.
- 32 = x2 + y2
- -30 = x2 + y2 – 6x – 10y
Answer
- Radius = 3, Centre = (0,0)
- Radius = 2, Centre = (3,5)
The equation of a circle
(x-h)2 + (y-b)2 = r2
Where
Center = (h,b)
Radius = r
General form of circle equation
ax2 + by2 + cx + dy + e = 0
From General form of circle equation to The equation of a circle:
Perform completing the square on the two variables in the equation.
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