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bekas [8.4K]
2 years ago
8

Write an equation of a circle that has the center at the origin and goes through (-3,-6)

Mathematics
1 answer:
dexar [7]2 years ago
6 0

Answer:

x^{2} +y^{2} = 45

Step-by-step explanation:

General Equation of circle is

(x-x_1)^{2} +(y-y_1)^{2} = r^{2}----------- (1)

Here

(x_1, y_1)= (0, 0)

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

r=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }

r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }

r= \sqrt{9+36}

r=\sqrt{45}

Substituting values in equation (1)

(x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}

x^{2} +y^{2} = 45

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