This video tutorial covers solving equations of circles using the standard form equation. It provides step-by-step solutions for examples 9 to 14 from a worksheet, explaining how to find the center and radius of circles. The tutorial also discusses using the distance formula and understanding tangent lines to solve circle-related problems.

What is the main topic of the video?

• Trigonometric functions

• Quadratic equations

• Linear equations

• Equations of circles

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

• X - H^2 + Y - K^2 = R^2

• X^2 + Y^2 = R^2

• X - H^2 + Y - K^2 = R

• X - H^2 + Y - K^2 = R^2

In problem 9, what is the value of H?

• 0

• -13

• 13

• 4

In problem 10, what is the radius squared if the radius is 3?

• 3

• 12

• 9

• 6

What formula is used to find the distance between two points?

• Midpoint formula

• Quadratic formula

• Slope formula

• Distance formula

In problem 11, what is the diameter of the circle?

• 296

• 10

• 14

• 18

What is the radius if the diameter is 14?

• 3.5

• 28

• 14

• 7

In problem 12, what is the radius if the circle is tangent to x = 13?

• 4

• 3

• 6

• 5

What is the center of the circle in problem 12?

• (0, 0)

• (10, -14)

• (13, -14)

• (10, 14)

In problem 13, what is the diameter of the circle?

• 6

• 9

• 12

• 3