10.7 - Equations of a circle

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

• 4

• 2

• 3

• 16

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

• (x - 7)² + y² = 9

• (x + 7)² + y² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

• (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 for this circle?

• (x+1)+(y+1)=9
• x²+y²=9
• x+y=9

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with an equation: (x + 7)² + (y - 6)² = 64 ?

• Center (7,-6)

  Radius = 8 units

• Center (-7,6)

  Radius = 64 units

• Center (-7,6)

  Radius = 8 units

• Center (7,-6)

  Radius = 64 units

What is the center of the circle with equation x² + y² = 1?

• (1, 1)
• (0, 0)
• not enough information

Tags

CCSS.HSG.GPE.A.1

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

• 242
• 11
• 121
• 22

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle whose diameter is 24 and whose center is at the origin? 

• x²+y²=125
• x²+y²=64
• x²+y²=144
• x²+y²=576

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (4,2) and radius 5 units?

• (x + 4)² + (y + 2)² = 25

• (x + 4)² + (y + 2)² = 5

• (x - 4)² + (y - 2)² = 5

• (x - 4)² + (y - 2)² = 25