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**Standard(s): **
[MA2019] GEO-19 (9-12) 6 :

6. Derive the equation of a circle of given center and radius using the Pythagorean Theorem.

a. Given the endpoints of the diameter of a circle, use the midpoint formula to find its center and then use the Pythagorean Theorem to find its equation.

b. Derive the distance formula from the Pythagorean Theorem.

[MA2019] GEO-19 (9-12) 32 : 32. Use coordinates to prove simple geometric theorems algebraically.