Given the radius and the center determine the equation of a circle

The video tutorial explains how to write the equation of a circle when the center is not at the origin. It introduces the formula, identifies the center as HK, and demonstrates plugging values into the equation. The process of simplifying the equation is shown, resulting in the final circle equation.

What is the significance of the center not being at the origin when writing the equation of a circle?

• It requires a different formula.

• It has no effect on the equation.

• It means the circle is larger.

• It makes the circle a square.

In the circle equation, what do the variables H and K represent?

• The radius of the circle.

• The coordinates of the center.

• The diameter of the circle.

• The circumference of the circle.

What operation is performed when substituting the center's coordinates into the circle equation?

• Division

• Addition

• Multiplication

• Subtraction

How does the equation change when subtracting a negative number?

• It becomes a multiplication.

• It becomes a division.

• It remains the same.

• It turns into an addition.

What is the final form of the circle's equation after simplification?

• X^2 + Y^2 = 64

• X^2 - Y^2 = 64

• X - 3)^2 + (Y + 4)^2 = 64

• X + 3)^2 + (Y - 4)^2 = 64