General Form of Circles

What is the equation of the circle whose center is at $\left(-3,0\right)$ and $r=11$ ?

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of the circle given the equation $\left(x-1\right)^2+\left(y+3\right)^2=2$ ?

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circle in general form given the center at (0, 0) and radius of 3 units?

• x² - y² = 9

• x² + y² = 9

• x² + y² - 9 = 0

• x² + y² + 9 = 0

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

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

Select all equations that have a radius of 3.

• (x-3)²+(y-3)²=3

• (x+6)²+(y-2)²=9

• (x+5)²+y²=6

• (x-7)²+(y-1)²=9

• (x-2)²+(y-3)²=6

Tags

CCSS.HSG.GPE.A.1

What is the center and the radius of x² + y² = 9?

• (0, 0); r = 81units

• (0, 0); r = 9 units

• (0, 0); r = 3 units

• (0, 0); r = -3 units

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with a center at (0,2) and a diameter of 8.

• x²+(y-2)²=8

• x²+(y-2)²=64

• x²+(y-2)²=4

• x²+(y-2)²=16

Tags

CCSS.HSG.GPE.A.1

What is the center and the radius of (x + 2)² + (y - 5)² = 49?

• (-2, 5); r = 49 units

• (-2, 5); r = 9 units

• (2, -5); r= 49 units

• (2, -5); r = 9 units

Tags

CCSS.HSG.GPE.A.1

Identify the center and radius of the circle with an equation of (x-4)²+(y-1)²=49

• Center: (-4,-1) and radius: 24.5

• Center: (4,1) and radius: 24.5

• Center: (-4,-1) and radius: 7

• Center: (4,1) and radius: 7

Tags

CCSS.HSG.GPE.A.1