Center and Radius in the Equation of a Circle

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

• A

• B

• C

• D

Determine the equation of a circle with center (5,-3) and radius of 9

• x²+y²-10x+6y-47=4

• x²+y²-10x-6y-47=0

• 2x²+y²+10x+6y-47=0

• x²+y²-10x+6y-47=0

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

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

• A

• B

• C

• D

What is the center and radius for a circle with the equation:

(x - 4)² + (y + 2)² = 169

• C:(4, -2), r=13

• C:(-4, 2), r=13

• C:(4, -2), r=169

• C:(-4, 2), r=169

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

In the equation (x-4)²+(y-3)²=25, the radius is

• 4

• 3

• 5

• 25

• 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

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242

• 11

• 121

• 22