Equation of Circle

The standard form of a circle is ________ and the general form of a circle is ________.

• (x - h)² + (y - k)² = r²; x² + y² + ax + by + c = 0

• (x - h)² + (y - k)² = r²; Ax + By + C = 0

• Ax² + By² + Cx + Dy + E = 0; (x - h)² + (y - k)² = r²

• Ax + By + C = 0; (x - h)² + (y - k)² = r²

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CCSS.HSG.GPE.A.1

• 30

• 20

• -30

• -20

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CCSS.HSG.GPE.A.1

• Centre = (2, 6)

• Centre = (2, -4)

• Centre = (-2, 4)

• Centre = (-2, -4)

• Centre = (2, 4)

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CCSS.HSG.GPE.A.1

Find the equation of the circle with center (-1, 2) and radius = 2 units.

• Option 1 and Option 3

• Option 2 and Option 3

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CCSS.HSG.GPE.A.1

Show that the point (1, 2√2) lies on a circle whose center is the origin and contains the point (0,3), and radius is 9

• The point (1, 2√2) lies on the circle.

• The point (1, 2√2) does not lie on the circle.

• The circle does not pass through the origin.

• The circle's radius is not defined.

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CCSS.HSG.GPE.A.1

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CCSS.HSG.GPE.A.1

Write the equation of the circle. (Assume a radius of integer length.)

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CCSS.HSG.GPE.A.1

• (4, 3)

• (-3, -4)

• (3, 4)

• (-4, -3)

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CCSS.HSG.GPE.A.1

The diameter of a circle has length 22. The center is at (-5, 2). Give the equation of the circle.

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CCSS.HSG.GPE.A.1

Write the equation of a circle given: Ends of a diameter: (-8,-9)

and (2,9)

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CCSS.HSG.GPE.A.1