Analysis: General & Standard form of a Circle

What is the equation of the circle. 

• (x - 3)²  + (y + 4)² = 9
• (x - 3)²  + (y + 4)² = 3
• (x)²  + (y)² = 9
• (x - 1)²  + (y + 1)² = 7

See Picture

• A
• B
• C

Tags

CCSS.HSG.GPE.A.1

What is the center and radius given the equation, x² + y² + 8x - 2y - 64 = 0?

• Center: (-4, 1), Radius: 9

• Center: (4,1), Radius: 9

• Center: (1,-4), Radius: 81

• Center: (-4, 1), Radius: 81

What is the equation of the circle with the given information?

• A
• B
• C
• D

• A

• B

• C

• D

• A

• B

• C

• D

Convert the to standard form.                          x² + y² + 6x - 10y - 15 = 0

• (x + 6)² + (y - 10)² = 15²
• (x + 3)² + (y - 5)² = 19²
• (x + 3)² + (y - 5)² = 7
• (x + 3)² + (y - 5)² = 49

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

• (-2,5)
• (2,3)
• (-2,-3)

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9