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Circle in Standard Form

Mathematics · Class 12

(x-h)²+(y-k)²=r² has centre (h,k) and radius r.

Circle in standard form
rule
worked example
Circle in standard form: (x-h)^2+(y-k)^2=r^2 has centre (h,k) and radius r.
CONCEPT AND RULE: (x-h)^2+(y-k)^2=r^2 has centre (h,k) and radius r.
METHOD: For circle in standard form, identify the given information and required result. Select the matching
(x-h)²+(y-k)²=r² has centre (h,k) and radius r.
Worked pattern: x^2+y^2-4x+6y-12=0 becomes (x-2)^2+(y+3)^2=25.

Right triangle — Circle in Standard Form — original sketch for this lesson (not copied from a textbook).