Standard Form of Circles

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

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

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

What the equation for the circle shown, with a center at (-2, -4)

Mathematical Equivalence

ON

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

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=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

Identify the center and radius of the circle with the equation (x + 1)² + (y - 6)² = 36

• Center: (-1, 6) and radius: 6

• Center: (-1, 6) and radius: 36

• Center: (1, -6) and radius: 6

• Center: (1, -6) and radius: 36

Tags

CCSS.HSG.GPE.A.1