Start by placing the compass point at an arbitrary point and drawing a full circle. Then, use the straightedge to copy the line segments inside the circle.
Graph 1:
Graph 2:
Practice makes perfect
Let's start with drawing a circle. We can do this by placing the compass point at an arbitrary point on a plane and then drawing a full circle. The point we chose is going to be the center of the circle.
Next, we can use the straightedge to draw a diameter of the circle. Let's recall that a diameter of a circle is a line segment that goes from one side of the circle's circumference, through the center of the circle, to the opposite side.
Now, let's draw a radius of the circle. To do this we can review that a radius is defined as the distance between the center of the circle and the circumference.
Last, we will draw a line segment by connecting two points that lie on the circumference of the circle.
We are able to label the center, radius, and diameter of the circle.
In order to label a central angle, an arc, a sector, and a segment, let's first recall their definitions.
A central angle is an angle whose vertex lies on the center of a circle.
An arc is a portion of the circumference of a circle.
A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. This is a pie-shaped part of a circle.
A segment is the region which is created by a secant or a chord with the corresponding arc of the circle.
Using this information, let's label the mentioned things on the circle. We will name a central angle ∠ α.
