Circles in the Coordinate Plane

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

Tags

CCSS.HSG.GPE.A.1

• Center (4,3)

  Radius = 5 units

• Center (4,3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1

The point (-3, 4) is on a circle with center (1, -1). Write the standard equation of the circle.

• (x + 1)² + (y - 1)² = 41

• (x - 1)² + (y + 1)² = 16

• (x + 1)² + (y - 1)² = 1681

• (x - 1)² + (y + 1)² = 41

Tags

CCSS.HSG.GPE.A.1

• Center: (-4, 1), Radius: 9

• Center: (4,1), Radius: 8

• Center: (1,-4), Radius: 64

• Center: (-4, 1), Radius: 81

Tags

CCSS.HSG.GPE.A.1

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

• Multiply out
• expand
• factor
• complete the square

Tags

CCSS.HSG.GPE.A.1

• 20

• 10

Tags

CCSS.HSG.GPE.A.1

• (3, -4)

• (-3, 4)

• (4, 3)

• (-4, -3)

Tags

CCSS.HSG.GPE.A.1

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)