Learn how to write the equation of a circle given center and tangent to x axis

The video tutorial explains how to find the center and radius of a circle using given information. It covers the concept of tangents, their properties, and how they relate to the Y-axis. The instructor discusses graphing errors and corrects them, leading to the derivation of the circle's equation. The final equation is presented as X + 3^2 + y - 5^2 = 9, demonstrating the process of squaring the radius.

What is the main goal when given a piece of information about a circle?

• To measure the area

• To calculate the circumference

• To determine the center and radius

• To find the diameter

What does a tangent line do in relation to a circle?

• It crosses the circle at two points

• It runs parallel to the circle

• It touches the circle at exactly one point

• It is perpendicular to the circle

Why is the distance from the center to the Y-axis important?

• It is used to calculate the circumference

• It determines the circle's diameter

• It helps find the circle's area

• It is equal to the radius

What mistake did the speaker acknowledge in the graph?

• The tangent was missing

• The circle was distorted

• The center was misplaced

• The circle was too small

How is the equation of a circle written using its center and radius?

• (X - H)^2 + (Y - K)^2 = R^2

• (X + H)^2 + (Y + K)^2 = 2R

• (X + H)^2 + (Y + K)^2 = R^2

• (X - H)^2 + (Y - K)^2 = 2R