Equation of a Circle

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2
• (x + h)^2 +  (y + h)^2 = r^2
• (x - h)^2 + (y - k)^2 = r^2
• (x - h)^2 - (h - k)^2 = r

Tags

CCSS.HSG.GPE.A.1

What is the equation of the 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 at the origin with radius 6.  

• x^2 + y^2 = 6
• x^2 + y^2 = 36
• x  + y = 6
• x + y = 36

Tags

CCSS.HSG.GPE.A.1

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

• (x - ^7)^2 + y^2 = 9
• x^2 + (y -7)^2 = 9
• (x - 7)^2 + y^2 = 3
• x^2 + (y -7)^2 = 3

Tags

CCSS.HSG.GPE.A.1

What is the center of a circle with equation (x-4)² + y² = 5?

• (-4, 0)
• (4, 0)
• (4, 1)
• (-4, 1)

Tags

CCSS.HSG.GPE.A.1

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

• (x+1)² + (y-3)²= 4000

• (x+5)² + (y-0)²= 25

• (x+1)² + (y-3)²= 25

• (x-1)² + (y+3)²= 25

Tags

CCSS.HSG.GPE.A.1

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

• (-4.5, -1)
• (-7.5, -6)
• (4.5, 1)
• (7.5, 6)

Tags

CCSS.HSG.GPE.A.1

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

• (x+1)² + (y-4)² = 4

• (x+1)² + (y+4)² = 16

• (x-1)² + (y-4)² = 16

• (x+1)² + (y+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

What is the equation of this circle?

• (x + 3)² + (y - 1)² = 9
• (x - 3)² + (y + 1)² = 9
• (x - 3)² + (y + 1)² = 3
• (x + 3)² + (y - 1)² = 3

Tags

CCSS.HSG.GPE.A.1