Resources

Resources

Find properties of circles from equations in general form

The equation of a circle is

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(x+3)^{2}+(y-4)^{2}=49

. What are the center and radius of the circle?

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1

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A The center is

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(3,4)

and the radius is

7

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B The center is

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(-3,4)

and the radius is

7

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(C) The center is

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(-3,-4)

and the radius is

7

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(D) The center is

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(-3,4)

and the radius is

49

Find the center of the circle.

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x^{2}+y^{2}-4=0

x^{2}+y^{2}+6 x-4 y=3

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A circle in the

x y

-plane has the equation shown. What is the

y

coordinate of the center of the circle?

A circle in the

x y

-plane has the equation

x^{2}+y^{2}-14 y-51=0

. What is the center of the circle?

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1

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(51,14)

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(7,10)

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(0,0)

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(0,7)

A circle in the

x y

-plane has the equation

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x^{2}+y^{2}-22 x+30 y+90=0 \text {. }

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How long is the diameter of the circle?

(x+20)^{2}+(y-30)^{2}=225

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A circle in the

x y

-plane has the equation shown. What is the

y

coordinate of the center of the circle?

What is the center of the circle

x^2 + y^2 - 4 = 0

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Simplify any fractions.

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