Circle Properties and Graphing Techniques

The video tutorial explains how to graph a circle by identifying its center and radius. It begins by locating the center at coordinates (2, -4) and determining the radius as 5. The tutorial then guides viewers through plotting points at equal distances from the center in all directions, forming a circle. It emphasizes the use of a compass for accuracy and discusses the properties of a circle, highlighting that all radii are equal.

What is the center of the circle mentioned in the video?

• (-2, 4)

• (2, 4)

• (2, -4)

• (0, 0)

What is the radius of the circle?

• 10

• 25

• 5

• 15

How do you find the center of the circle on a graph?

• By drawing a line

• By plotting the given coordinates

• By measuring the radius

• By using a compass

What is the first step in graphing the circle after finding the center?

• Draw a square

• Measure the diameter

• Plot points using the radius

• Draw a triangle

How many units do you move from the center to plot a point on the circle?

• 3 units

• 5 units

• 2 units

• 10 units

What tool is suggested for drawing a perfect circle?

• Ruler

• Protractor

• Compass

• Triangle

Why is it difficult to draw a circle by hand?

• Because it is hard to maintain equal radius

• Because it needs precise measurements

• Because it requires a ruler

• Because it needs a protractor

What is a key property of a circle mentioned in the video?

• It is a square

• All sides are equal

• It has four corners

• All sides are different

What is the radius of the circle from any point on its circumference to the center?

• Infinite

• Zero

• Variable

• Constant

What should you do if you find it hard to draw a circle by hand?

• Use a ruler

• Use a triangle

• Use a compass

• Use a protractor