Equations of Circles

Front

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

Back

Front

How do you find the radius of a circle given its center and a point on the circle?

Back

Front

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

Back

Front

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

Back

Front

What is the significance of the radius in the equation of a circle?

Back

The radius (r) determines the size of the circle; it is the distance from the center to any point on the circle.

Front

Given the center (3, 10) and a point (8, 11), how do you find the equation of the circle?

Back

Front

What is the equation of a circle with center (-16, -8) and a radius of 3?

Back

Front

Back

Front

What is the relationship between the center and the tangent line to a circle?

Back

The radius drawn to the point of tangency is perpendicular to the tangent line.

Front

How do you write the equation of a circle given its center and radius?

Back