1B Completing the Square & Equation of a Circle Problems

Which of the following is the correct equation of the given circle?

• (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

Tags

CCSS.HSG.GPE.A.1

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

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

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

• 4

• 2

• 16

• 8

Tags

CCSS.HSG.GPE.A.1

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Tags

CCSS.HSG.GPE.A.1

• Center (7,-6)

  Radius = 8 units

• Center (-7,6)

  Radius = 64 units

• Center (-7,6)

  Radius = 8 units

• Center (7,-6)

  Radius = 64 units

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=12

• x²+y²=24

• 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 of 5?

• (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

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

• (2,-5)
• (-2,4)
• (2,-4)
• (-2, -4)

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?

• 4
• 8
• 4√2
• 2√2

Tags

CCSS.HSG.GPE.A.1

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

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1