Write the equation of a circle given the center and a point it passes through

The video tutorial explains how to write the equation of a circle. It begins by introducing the general equation and emphasizes the importance of knowing the circle's center and radius. The tutorial then guides viewers through solving for the radius using given points on the circle. Finally, it demonstrates how to plug in the values to complete the circle equation, highlighting the importance of understanding the opposite signs in the equation. The session concludes with a brief Q&A.

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

• X - H^2 + Y - K^2 = R

• X^2 + Y^2 = R^2

• X - H^2 + Y - K^2 = R^2

• X^2 + Y^2 = R

If the center of a circle is at (H, K), what does the equation of the circle require to be complete?

• The diameter

• The circumference

• The radius

• The tangent

How can you find the radius if it is not directly provided?

• By using the area

• By using the diameter

• By using a point on the circle

• By using the circumference

What is the value of R^2 if the radius is the square root of 5?

• 25

• 10

• 2.5

• 5

In the equation (X - H)^2 + (Y - K)^2 = R^2, what do H and K represent?

• The diameter

• The tangent points

• The center of the circle

• The radius