Write the equation of a circle given the center and point

The video tutorial explains how to determine the radius of a circle using both geometric and algebraic methods. It begins with plotting points and identifying the circle's center, then discusses using the Pythagorean theorem to find the radius. The tutorial also covers an algebraic approach to solving for the radius and explores alternative methods, emphasizing understanding through both geometric and algebraic perspectives.

What is the first step suggested to understand the geometry of a circle?

• Use the distance formula directly

• Plot the given points

• Calculate the area of the circle

• Find the circumference of the circle

Which mathematical concept is used to derive the distance formula?

• Calculus

• Trigonometry

• Algebra

• Pythagorean theorem

What is the radius of the circle if the distances are 3 and 4?

• 7

• 6

• 4

• 5

How can you find the radius algebraically if you know a point on the circle?

• By calculating the circumference

• By using the point in the circle's equation

• By measuring the diameter

• By finding the area

What is the value of r squared if the radius is 5?

• 15

• 20

• 25

• 10