Equation of a circle (expanded form)

Circle O has a center at (3,1) and a diameter of 10 units. Which point lies on circle O?

• (3,-4)

• (-3,-1)

• (5,1)

• (8,0)

Which of the following equations of a circle in expanded form given have the center at (3, 4) and radius of 5 units?

• (x – 3)² - (y – 4)² = 25

• (x – 3)² + (y – 4)² = 25

• x² + y² + 6x - 8y - 25 = 0

• x² + y² - 6x - 8y = 0

Which of the following equations of a circle in expanded form given the center at (5, -8) and radius of 11 units?

• x² + y² -10x + 16y + 32 = 0

• x² + y² -10x + 16y - 32 = 0

• (x - 5)² + (y + 8)² = 11

• (x - 5)² + (y + 8)² = 121

Determine the equation of the circle in the general 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

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

Determine the equation of the circle in general 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 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

Determine the equation of the circle in general 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

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

What is the radius of the given circle:
 x²+y²-10x+8y-23=0?

• 4
• 2
• 8