Equation of circle with central in the origin O(0,0) , and radius r.
Let T(x,y) in the circle. So, we have
Squaring both sides, we get
By this way, we get an equation of circle with central point in origin and radius r.
Equation of circle with central in the origin P(a,b) , and radius r.
Let T(x,y) in the circle. So, we have
by squaring both sides again, we get
So the equation of circle with the central point in P(a,b) and radius r is
Example.
Find the equation of circle which has radius 5 and the central point
a. in the origin
b. P(2,3)
Solution
a. By the equation above, we simply get
b. Analogue to the above, we get
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