Math  /  Algebra

QuestionEliminate the parameter and obtain the standard form of the rectangular equation. Circle: x=h+rcos(θ),y=k+rsin(θ)x=h+r \cos (\theta), \quad y=k+r \sin (\theta)

Studdy Solution
Simplify the equation:
(xh)2r2+(yk)2r2=1 \frac{(x - h)^2}{r^2} + \frac{(y - k)^2}{r^2} = 1
Multiply through by r2r^2 to obtain the standard form:
(xh)2+(yk)2=r2 (x - h)^2 + (y - k)^2 = r^2
This is the standard form of the rectangular equation for the circle.

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