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Question
Write the parametric equations of the circle:
x2 + y2 = 9
Sum
Solution
The equation of the circle is x2 + y2 = 9.
Comparing this equation with x2 + y2 = r2,
we get, r2 =9
∴ r = 3
∴ the parametric equations are
x = r cosθ, y = r sinθ
i.e., x = 3 cosθ, y = 3 sinθ.
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Parametric Form of a Circle
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