Circles Standard and General Form

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

• x²+y²=3

• x²+y²=6

• x²+y²=9

Which graph corresponds to 
(x)²+ (y-6)²=9

• A

• B

• C

• D

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Part One. Determine the equation of the circle described in each item. Express equations in both the standard form and general form.

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=9

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

• A

• B

• C

• D

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

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

Mathematical Equivalence

ON

In order to convert from general form to center-radius form, you must ___________. 

• Multiply out

• expand

• factor

• complete the square