Equations of a Circle

Front

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

Back

Tags

CCSS.HSG.GPE.A.1

Front

How do you find the center of a circle from its equation?

Back

Tags

CCSS.HSG.GPE.A.1

Front

What does the radius of a circle represent in its equation?

Back

The radius of a circle represents the distance from the center to any point on the circle, and it is denoted by r in the equation.

Tags

CCSS.HSG.GPE.A.1

Front

Back

Tags

CCSS.HSG.GPE.A.1

Front

Back

The center of the circle is (-2, 7).

Tags

CCSS.HSG.GPE.A.1

Front

How do you convert the general form of a circle's equation to standard form?

Back

Tags

CCSS.HSG.GPE.A.1

Front

What is the equation of a circle with center (0, 0) and radius 5?

Back

Tags

CCSS.HSG.GPE.A.1

Front

Back

Center: (3, -1), Radius: 6.

Tags

CCSS.HSG.GPE.A.1

Front

What is the significance of the value on the right side of the equation in the standard form of a circle?

Back

The value on the right side, r^2, indicates the square of the radius of the circle.

Tags

CCSS.HSG.GPE.A.1

Front

How do you determine if a point lies inside, outside, or on a circle?

Back

Substitute the point (x, y) into the circle's equation. If the result is less than r^2, it's inside; if equal, it's on; if greater, it's outside.

Tags

CCSS.HSG.GPE.A.1