Given the radius and center find the equation of a circle

The video tutorial explains the general form of a circle equation, identifying the center and radius, and how to substitute these values into the equation. It also covers the multiplication of radicals and concludes with the final equation.

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

• X^2 + Y^2 = R^2

• X - H^2 + Y - K^2 = R^2

• X - H^2 + Y - K^2 = R

• X^2 + Y^2 = R

What information is needed to write the equation of a circle?

• Neither the center nor the radius

• Both the center and the radius

• Only the center

• Only the radius

How do you represent the opposite of H in the circle's equation?

• X + H

• X + 1/4

• X - 1/4

• X - H

What is the result of multiplying 5 sqrt 2 by itself?

• 25

• 50

• 5

• 10

What is the final form of the circle's equation in this problem?

• X - 1/4^2 + Y - sqrt 3^2 = 50

• X - 1/4^2 + Y - sqrt 3^2 = 25

• X + 1/4^2 + Y + sqrt 3^2 = 50

• X + 1/4^2 + Y + sqrt 3^2 = 25