Equations of Circles Geometry

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

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

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 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

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

Which equation matches the circle on the graph?

• (x-3)²+(y-4)²=16

• (x-5)²+(y-2)²=20

• (x+3)²+(y+4)²=16

• (x-9)²+(y-16)²=32

Tags

CCSS.HSG.GPE.A.1

Which equation matches the circle on the graph?

• (x-2)²+(y+3)²=81

• (x+3)²+(y-2)²=9

• (x-2)²+(y+3)²=9

• (x+3)²+(y-2)²=3

Tags

CCSS.HSG.GPE.A.1

What does the "k" in (h,k) stand for?

• k is the y coordinate point in the center of the circle

• k is the x coodinate point in the center of the circle

• k is the radius of the circle

• k is the distance of the circle

Tags

CCSS.HSG.GPE.A.1

What does "h" stand for in (h,k)?

• h is the radius of the circle

• h is the distance of the circle

• h is the y in the coordinate point

• h is the x in the coordinate point

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16

• (x-8)² + y² = 4

• x² + (y-8)² = 4

• x² + (y+8)² = 16

Tags

CCSS.HSG.GPE.A.1