Bellringer: Standard Equations of a circle

What is the standard equation of a circle with center (3, -4) and radius 5?

• (x - 3)^2 + (y - 4)^2 = 25

• (x - 3)^2 - (y + 4)^2 = 25

• (x + 3)^2 + (y - 4)^2 = 25

• (x - 3)^2 + (y + 4)^2 = 25

Tags

CCSS.HSG.GPE.A.1

Find the equation of a circle with center (-2, 1) and passing through the point (4, 3).

• (x - 2)^2 + (y + 1)^2 = 25

• (x + 2)^2 + (y - 1)^2 = 25

• (x - 2)^2 + (y - 1)^2 = 16

• (x + 4)^2 + (y - 3)^2 = 25

Tags

CCSS.HSG.GPE.A.1

Determine the equation of a circle with center (0, 0) and radius 6.

• x^2 + y^2 = 36

• x^2 - y^2 = 36

• x^2 + y^2 = 6

• x^2 + 6y^2 = 1

Tags

CCSS.HSG.GPE.A.1

If the equation of a circle is x^2 + y^2 - 16x + 6y + 24 = 0, find the center and radius of the circle.

• (4, -5) for the center and 6 for the radius

• (8, -3) for the center and 5 for the radius

• (10, -4) for the center and 3 for the radius

• (6, -2) for the center and 8 for the radius

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with center (5, -2) and passing through the point (1, 3)?

• (x - 5)^2 + (y + 2)^2 = 25

• (x - 7)^2 + (y - 1)^2 = 36

• (x - 2)^2 + (y - 5)^2 = 9

• (x - 3)^2 + (y + 4)^2 = 16

Tags

CCSS.HSG.GPE.A.1

Find the equation of a circle with center (2, -5) and radius 7.

• (x - 2)^2 + (y + 5)^2 = 49

• (x + 2)^2 + (y - 5)^2 = 49

• (x - 2)^2 + (y - 5)^2 = 49

• (x - 2)^2 - (y + 5)^2 = 49

Tags

CCSS.HSG.GPE.A.1

Determine the equation of a circle with center (0, 0) and passing through the point (-3, 4).

• x^2 + y^2 = 16

• x^2 + y^2 = 25

• x^2 + y^2 = 9

• x^2 + y^2 = 20

Tags

CCSS.HSG.GPE.A.1

If the equation of a circle is x^2 + y^2 + 10x - 4y - 12 = 0, find the center and radius of the circle.

• The center of the circle is (-5, 2) and the radius is 3.

• The center of the circle is (2, -5) and the radius is 7.

• The center of the circle is (0, 0) and the radius is 5.

• The center of the circle is (3, -5) and the radius is 10.

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of a circle with center (-1, 2) and radius 8?

• (x + 1)^2 + (y - 2)^2 = 8

• (x - 1)^2 + (y - 2)^2 = 8

• (x + 1)^2 + (y - 2)^2 = 64

• (x - 1)^2 + (y + 2)^2 = 64

Tags

CCSS.HSG.GPE.A.1

Find the equation of a circle with center (4, -3) and passing through the point (6, 5).

• (x - 4)^2 + (y + 3)^2 = 49

• (x - 4)^2 + (y - 3)^2 = 65

• (x + 4)^2 + (y - 3)^2 = 65

• (x - 4)^2 + (y + 3)^2 = 65

Tags

CCSS.HSG.GPE.A.1