Deriving and Using the Equation of a Circle

Which is the correct equation of a circle whose centered at (-1, -5) and has a radius of 5?

• (x + 1)² + (y - 5)² = 25

• (x - 1)² + (y - 5)² = 25

• (x - 1)² + (y + 5)² = 25

• (x + 1)² + (y + 5)² = 25

Tags

CCSS.HSG.GPE.A.1

Plot the circle given by the equation (x+4)^2 + (y-5)^2 = 25 on a coordinate plane

• The circle should be plotted with center at (0, 0) and radius 5.

• The circle should be plotted with center at (3, -2) and radius 7.

• The circle should be plotted with center at (-5, 4) and radius 6.

• The circle should be plotted with center at (-4, 5) and radius 5.

Tags

CCSS.HSG.GPE.A.1

Select the matching graph.

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Tags

CCSS.HSG.GPE.A.1

Identify the description that matches this equation. x^2+y^2=49

• a circle with center (0, 0) and radius 7

• a circle with center (1, 1) and radius 7

• a circle with center (0, 0) and radius 49

• a circle with center (0, 0) and radius 1

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle? Enter your equation in the response box.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

What is the equation for the circle graphed?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle? Enter your equation in the response box.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

What is the equation of this circle?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

Which of the following is the correct equation of a circle with center at (-3, 5) and radius 7?

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