6.3.2 Review of the Equation of a Circle

Given the equation of a circle, identify the center of the circle and the radius of the circle.

$$\left(x-6\right)^2+\left(y+4\right)^2=49$$

Given the equation of a circle, identify the center of the circle and the radius of the circle.

$$\left(x-5\right)^2+y^2=4$$

Which equation describes a circle centered at (0, 0) with a radius of $$\sqrt[]{13}$$ ?

Which equation describes a circle centered at (-8, -2) with a radius of $$\sqrt[]{22}$$ ?

Which equation represents the circle that has a center at (-6, 3) and a diameter of 8?

Which equation represents the circle?

A circle is centered at (5, -7) and has a radius of 3. Fill in the blank of the equation.

$$\left(\ \ \ \ \ \ \ \ \ \ \right)^2+\left(y+7\right)^2=9$$

A circle has a center at (3, -8) and a radius of 11. Fill in the blank.

$$\left(x-3\right)^2+\left(\ \ \ \ \ \ \ \ \ \right)^2=121$$

A circle is centered at the origin and has a radius of 4. Complete the equation to represent the circle.

x² + y² = (a)  

A circle is defined by the equation $$\left(x+8\right)^2+\left(y-3\right)^2=100$$ .

Where is the point (2, 3) located in relation to the circle?