Circle Equation Concepts

The video tutorial explains how to write the equation of a circle when the center is not at the origin. It begins by identifying the center of the circle as coordinates h and k. The instructor then demonstrates how to substitute these values into the circle equation. The process involves simplifying the equation by handling negative values, resulting in the final equation of the circle.

Why do we need to use a specific formula for the circle equation in this example?

• Because the circle is not a perfect circle

• Because the circle is not in the first quadrant

• Because the center is not at the origin

• Because the radius is unknown

What are the coordinates of the center of the circle in this example?

• (3, -4)

• (-3, 4)

• (-4, 3)

• (4, -3)

What is the first step after identifying the center coordinates?

• Calculate the radius

• Substitute the coordinates into the circle equation

• Draw the circle

• Find the diameter

How do you handle the negative sign when substituting -3 into the equation?

• Leave it as it is

• Add it to the radius

• Change it to a positive

• Subtract it from the radius

What is the final equation of the circle?

• (x + 3)^2 + (y - 4)^2 = 64

• (x - 3)^2 + (y + 4)^2 = 64

• (x - 3)^2 + (y - 4)^2 = 64

• (x + 3)^2 + (y + 4)^2 = 64