Equations of Circles Review

Front

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

Back

Front

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

Back

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Back

First, rewrite the equation in standard form. The radius is found by taking the square root of the constant on the right side after rearranging.

Front

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

Back

Front

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

Back

Front

What does the term 'completing the square' mean in the context of circles?

Back

Completing the square is a method used to rewrite a quadratic equation in the form of a perfect square trinomial, which helps in converting to standard form.

Front

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

Back

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

Front

How do you determine the diameter of a circle from its radius?

Back

Front

Back

The center of the circle is (11, 2).

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Back