Equations of Circles

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2

• (x-3)² + (y-4)² = 2

• (x+3)² + (y+4)² = 4

• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1

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 a point that we guess and find

• (h,k) is the distance of the circle

Tags

CCSS.HSG.GPE.A.1

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Tags

CCSS.HSG.GPE.A.1

What is the equation of this circle?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

The circle that has a center of (-3, 4) and is tangent to the y-axis is graphed in the standard (x, y) coordinate plane. Write the equation of the circle.

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

Write the equation of the circle shown above.

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

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1