Equations of Circles Using Complete the Square

Determine the center and radius:
x² + y² - 10x + 8y -8 = 0

• C = (5,-4) r = 7

• C = (-5,4) r = 7

• C = (-4,5) r = 49

• C = (5,-4) r = 49

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

Determine the center and radius: x² + y² + 14x - 2y = -1

• center= (-7,2) radius= 3

• center= (-7,1) radius= 7

• center= (-4,1) radius= 5

Write the equation of the circle in standard form:

• A

• B

• C

• D

Write the equation of the circle in standard form:

• A

• B

• C

• D

Which equation matches the graph?

Write the equation of the circle in standard form:

• A

• B

• C

• D

Write the equation of the circle in standard form:

• A

• B

• C

• D

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Which of the following graphs match the equation:

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