Converting Circles

Convert the equation of the circle from standard to general.

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Tags

CCSS.HSG.GPE.A.1

Convert the equation of the circle from general to standard form.

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Tags

CCSS.HSG.GPE.A.1

Convert the equation of the circle from standard to general.

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

• (x+2)² + (y+3)² = 49

• (x+2)² + (y+3)² = 13

• (x-2)² + (y-3)² = 49

• (x-2)² + (y-3)² = 13

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle in standard form: x² + y² + 6x - 12y + 20 = 0

• (x-3)² + (y+6)² = 25

• (x+3)² + (y-6)² = 25

• (x-3)² + (y+6)² = 45

• (x+3)² + (y-6)² = 5

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle in general form.

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Tags

CCSS.HSG.GPE.A.1

Select the matching graph.

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Tags

CCSS.HSG.GPE.A.1

Identify the center and the radius of the circle in general form.

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Tags

CCSS.HSG.GPE.A.1

Identify the center of the circle in general form.

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Tags

CCSS.HSG.GPE.A.1

In an example from the second video in 10.3, the parametric equation x = 3cost, y = 3sint became...

• circle

• ellipse

• hyperbolas

• parabola