Warm-Up: 11/6 Conic Circles

What is the center and radius of this circle?
(x - 2)² + y² = 1

• Center: (2, 0)
   radius = 0.5
• Center: (2, 0)
   radius = 1
• Center: (-2, 0)
   radius = 2
• Center: (-2, 0)
   radius = 1

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of this circle?
(x + 6)² + (y - 3)² = 36

• Center: (-6, -3)
   radius = 36
• Center: (6, -3)
   radius = 6
• Center: (6, 3)
   radius = 18
• Center: (-6, 3)
   radius = 6

Tags

CCSS.HSG.GPE.A.1

• (x - 1)² + (y + 2)² = 2
• x² + (y - 2)² = 4
• x² + (y + 2)² = 4
• x² + (y + 2)² = 2

Tags

CCSS.HSG.GPE.A.1

• (x + 4)²+(y + 3)² = 1
• (x - 4)²+(y - 3)²=2
• (x - 4)²+(y + 3)²=0.5
• (x - 4)² + (y - 3)² = 1

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the center and the radius of the circle with equation:
(x - 5)² + (y + 3)² = 36 ?

• Center (5,-3)
  Radius = 6 units
• Center (-5,3)
  Radius = 6 units
• Center (-5,3)
  Radius = 36 units
• Center (5,-3)
  Radius = 36 units

Tags

CCSS.HSG.GPE.A.1

The point (-1,3) is on a circle with center (-5,6). Write the equation of the circle.

• (x+5)²+(y-6)²=25
• (x-5)²+(y-2)²=25
• (x-8)²+(y-6)²=49

Tags

CCSS.HSG.GPE.A.1

Does the point (4,5)  lie on this Circle?
(x+2)²+(y+2)²=81
Hint: substitute x=4 and y=5 and see if the left side is equal the right side.

• yes
• No

Tags

CCSS.HSG.GPE.A.1