Equations of a Circle Review

The equation of a circle is x2 + y2 + 6x + 4y + 9 = 0. What is this equation written in its standard form?

Tags

CCSS.HSG.GPE.A.1

If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?

Tags

CCSS.HSG.GPE.A.1

If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle?

Tags

CCSS.HSG.GPE.A.1

What is the radius of a circle with the equation x² + y² – 14x + 10y - 250 = 0?

• 9 units

• 12 units

• 15 units

• 18 units

Tags

CCSS.HSG.GPE.A.1

What is the diameter of a circle with the equation (x + 6)² + (y − 4)² = 16?

• 4

• 8

• 16

• 32

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle with center (−3, 2) and (6, 4) a point on the circle.

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle with center (0, 0) and (5, 2) a point on the circle.

Tags

CCSS.HSG.GPE.A.1

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

What is the equation for this circle?

• (x+1)²+(y+1)²=9

• x²+y²=9

• x²+y²=6

• x²+y²=3

Tags

CCSS.HSG.GPE.A.1