Equations of a Circle Review

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

• $(x−8)^2+(y−5)^2=\sqrt{13}$

• $(x+8)^2+(y+5)^2=\sqrt{13}$

• 
  $(x−8)^2+(y−5)^2=13$

• $(x+8)^2+(y+5)^2=13$

Tags

CCSS.HSG.GPE.A.1

A circle is centered at (5, 4) and has radius 6. Write its equation in standard form.

• $(x-5)^2+(y-4)^2=6$

• $(x+5)^2+(y+4)^2=6$

• $(x-5)^2+(y-4)^2=36$

• $(x+5)^2+(y+4)^2=36$

Tags

CCSS.HSG.GPE.A.1

Write the equation of this circle in standard form.

• $(x-2)^2+(y-3)^2=4$

• $(x+2)^2+(y+3)^2=4$

• $(x-2)^2+(y-3)^2=16$

• $(x+2)^2+(y+3)^2=16$

Tags

CCSS.HSG.GPE.A.1

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

•  $(x+3)^2+(y+2)^2=4$  

•  $(x+6)^2+(y+4)^2=4$  

•  $(x+3)^2+(y+2)^2=10$  

•  $(x+6)^2+(y+4)^2=10$  

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

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

• $(x+4)^2+(y+2)^2=5$

• $(x-4)^2+(y-2)^2=5$

• $(x+4)^2+(y+2)^2=\sqrt{5}$

• $(x-4)^2+(y-2)^2=\sqrt{5}$

Tags

CCSS.HSG.GPE.A.1

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

• $(x+3)^2+(y−2)^2=13$

• $(x+3)^2+(y−2)^2=25$

• $(x+3)^2+(y−2)^2=85$

• $(x+3)^2+(y−2)^2=117$

Tags

CCSS.HSG.GPE.A.1

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

• $x^2+y^2=23$

• $x^2+y^2=25$

• $x^2+y^2=27$

• $x^2+y^2=29$

Tags

CCSS.HSG.GPE.A.1

How is the equation of this circle written in standard form? $x^2+y^2-6x+14y\ -142=0$  

•  $(x-3)^2+(y+7)^2=200$  

•  $(x+3)^2+(y-7)^2=200$  

•  $(x-6)^2+(y+14)^2=142$  

•  $(x+6)^2+(y-14)^2=142$  

Tags

CCSS.HSG.GPE.A.1