Circles Equations

What is the center and radius of a circle with the equation, (x-1)² + (y-3)² = 4

• Center is (1,3) and radius is 2

• Center is (3,1) and radius is 2

• Center is (3,2) and radius is 1

• Center is (2,3) and radius is 1

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of a circle with an equation (x+5)² + (y-1)² = 64

• Center is (5,1) and radius is 8

• Center is (-5, 1) and radius is 8

• Center is (-1, 5) and radius is 8

• Center is (-5,-1) and radius is 8

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of a circle with an equation (x+2)² + (y+4)² = 1

• Center is (2,4) and radius is 1

• Center is (2,-4) and radius is 1

• Center is (-2, 4) and radius is 1

• Center is (-2, -4) and radius is 1

Tags

CCSS.HSG.GPE.A.1

What is the circle equation, given the center is (4,1) and the radius is 3?

• (x-4)² + (y-1)² = 9

• (x+4)² + (y+1)² = 9

• (x+1)² + (y+4)² = 9

• (x-1)² + (y-4)² = 9

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle, given the center is (-2, 3) and the radius is 4?

• (x+2)² + (y-3)² = 2

• (x-2)² + (y+3)² = 16

• (x+2)² + (y-3)² = 16

• (x-2)² + (y-3)² = 2

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle given the center is (-5,7) with a radius of 5?

• (x-5)² + (y+7)² = 25

• (x+5)² + (y-7)² = 25

• (x-5)² + (y-7)² = 25

• (x+5)² + (y+7)² = 25

Tags

CCSS.HSG.GPE.A.1

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

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

• x² + (y + 6)² = 49

• x² + (y - 6)² = 7

• (x + 6)² + y² = 49

• (x + 6)² + y² = 7

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 2 and center (3, 4)?

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

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.

• (x - 2)² + (y + 5)² = 36
• (x - 5)² + (y + 2)² = 6
• (x + 5)² + (y - 2)² = 36
• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1