Equations of Circles - ALL

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²

Tags

CCSS.HSG.GPE.A.1

What does (h,k) standard for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is the radius of the circle

• (h,k) is the diameter of the circle

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)

  Radius = 5 units

• Center (4,3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

Graph the center of the circle represented by the equation (x+2)²+(y-4)²=41

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle

(x+7)²+(y-2)²=144?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

• 4

• 8

• 4√2

• 2√2

Tags

CCSS.HSG.GPE.A.1

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

• 10

• 3

• 5

• 25

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the diameter of the circle is...

• 4

• 2

• 3

• 16

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

• (-2, 19)

• (-4, -1)

• (-8,8)

• (0, -4)

• (5, 21)

Tags

CCSS.HSG.GPE.A.1