Standard Form of Circle

What is the standard equation of a circle with center at (h,k)?

• (x – h)² + (y – k)² = r²

• (x + h)² + (y + k)² = r²

• x² - y² = r²

• x² + y² = r²

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle in standard form with center at the origin?

• x + y =r²

• x - y = r²

• x² + y² = r²

• x² - y² = r²

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circle in standard form with center at (1, 2) and a radius of 3 units?

• x² + y² = 3

• x² + y² = 9

• (x - 1)² + (y - 2)² = 9

• (x + 1)² + (y + 2)² = 9

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle graphed above.

• (x-2)²+(y+2)²=9

• (x+2)²+(y-2)²=9

• (x-2)²+(y+2)²=3

• (x+2)²+(y-2)²=3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle with the given information?

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Write 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

• (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 in standard form with center at (2, -3) and radius 4 units?

• (x + 2)² + (y + 3)² = 16

• (x - 2)² + (y - 3)² = 16

• (x + 2)² + (y - 3)² = 16

• (x - 2)² + (y + 3)² = 16

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circles in standard form with center at (-3, 4) and a radius of 5 units?

• x² - y² = 25

• x² + y² = 25

• (x - 3)² + (y + 4)² = 25

• (x + 3)² + (y - 4)² = 25

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circles in standard form with center at (-5, -8) and a radius of 6 units?

• (x - 5)² - (y - 8)² = 36

• (x + 5)² - (y + 8)² = 36

• (x + 5)² - (y + 8)² = 36

• (x + 5)² + (y + 8)² = 36

Tags

CCSS.HSG.GPE.A.1