Learn how to write the equation of a circle given a point and the center

The video tutorial explains how to write the equation of a circle. It begins by introducing the general form of a circle's equation and identifying the center and radius. The instructor demonstrates how to solve for the radius using a given point on the circle and the center. Once the radius is determined, the circle's equation is formulated and verified. The tutorial concludes with a complete example, preparing students to tackle similar problems.

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

• X^2 + Y^2 = R

• X - H^2 + Y - K^2 = R

• X^2 + Y^2 = R^2

• X - H^2 + Y - K^2 = R^2

If the center of a circle is at (H, K) and a point on the circle is (X, Y), what is the distance from the center to the point?

• H - X

• K - Y

• R

• X + Y

How do you find the radius squared if you have a point on the circle and the center?

• Subtract the coordinates of the point from the center

• Multiply the coordinates of the point and the center

• Add the coordinates of the point to the center

• Use the distance formula and square it

What is the radius if the radius squared is 20?

• 20

• 10

• 5

• sqrt 20

How do you write the equation of a circle if the center is (-4, -1) and the radius squared is 20?

• (X - 4)^2 + (Y - 1)^2 = 20

• (X + 4)^2 + (Y - 1)^2 = 20

• (X - 4)^2 + (Y + 1)^2 = 20

• (X + 4)^2 + (Y + 1)^2 = 20