Circle Equation (Standard Form)

Front

What is the equation of a circle with center (h,k) and radius r?

Back

(x - h)² + (y - k)² = r²

Tags

CCSS.HSG.GPE.A.1

Front

What does the center of a circle represent in the equation?

Back

The center (h,k) is the point around which the circle is drawn.

Tags

CCSS.HSG.GPE.A.1

Front

What is the radius of a circle?

Back

The radius is the distance from the center to any point on the circle.

Front

What is the standard form of a circle's equation?

Back

(x - h)² + (y - k)² = r²

Tags

CCSS.HSG.GPE.A.1

Front

If the center of a circle is (0,0) and the radius is 5, what is the equation?

Back

x² + y² = 25

Tags

CCSS.HSG.GPE.A.1

Front

What is the radius of a circle with the equation (x - 2)² + (y + 3)² = 16?

Back

The radius is 4 units.

Tags

CCSS.HSG.GPE.A.1

Front

What does the term (x - h)² represent in the circle equation?

Back

It represents the horizontal distance from the center to a point on the circle.

Tags

CCSS.HSG.GPE.A.1

Front

What does the term (y - k)² represent in the circle equation?

Back

It represents the vertical distance from the center to a point on the circle.

Tags

CCSS.HSG.GPE.A.1

Front

If a circle has a center at (1, -1) and a radius of 2, what is the equation?

Back

(x - 1)² + (y + 1)² = 4

Tags

CCSS.HSG.GPE.A.1

Front

What is the center of the circle in the equation (x + 3)² + (y - 2)² = 25?

Back

The center is (-3, 2).

Tags

CCSS.HSG.GPE.A.1