Circles Equations




The equation of a circle can be written in the format (x – a)2 + (y – b)2 = r2, with the center being at the point (a, b) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius.





1. Find the equation of a circle with radius 5 and center (-3,3).
















2. Find the equation of a circle with radius 8 and center (0,0).












3. Find the equation of a circle with radius 7 and center (12,6).












4-5. Find the center and radius of circle of equation:




center:














radius:














6. Find the intersection points of the two circles below, for any real number a.




















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