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AssignmentMultiple Select

Equation of a Circle

Question 1 • Math II CR S2 RS3

Circle Q is centered at the origin with radius r. Point P(x, y) lies on circle Q. Make a conjecture. How can you find an equation relating the radius to the coordinates of point P? Check all that apply.

Answer
A
Notice that ΔPQS forms a right triangle.
B
Because ΔPQS is a right triangle, apply the Pythagorean theorem.
C
x² + y² = r²
Circle Q is centered at the origin with radius…