
chord
arc
central angle is times larger than inscribed angle – both intercepting the same arc
Master circle geometry with practice problems on chords, arcs, central angles, inscribed angles, and tangents. Build confidence with step-by-step solutions.
chord
arc
central angle is times larger than inscribed angle – both intercepting the same arc
How many times longer is the radius of the red circle than the radius of the blue circle?
A point whose distance from the center of the circle is _______ than the radius, is outside the circle.
Let's remember that the circle is actually the inner part of the circumference, meaning the enclosed area within the frame of the circumference.
Therefore, a point whose distance is greater than the center of the circle will necessarily be outside the circle.
Answer:
greater
Where does a point need to be so that its distance from the center of the circle is the shortest?
Let's remember that the circle is actually the inner part of the circumference, meaning the enclosed area within the frame of the circumference.
Therefore, a point whose distance is less than the radius from the center of the circle will necessarily be inside the circle.
Answer:
Inside
In which of the circles is the point marked inside of the circle and not on the circumference?
Let's remember that the circular line draws the shape of the circle, and the inner part is called a disk.
Therefore, in diagram B, the point is located in the inner part, meaning inside the disk.
Answer:
Identify which diagram shows the radius of a circle:
Remember that a radius is a line segment connecting the center of a circle to any point on the circle itself.
In drawing C we can see that the line coming from the center of the circle indeed connects to a point on the circle itself, while in the other drawings the lines don't touch any point on the circle.
Therefore, C is the correct drawing.
Answer:
Identify which diagram shows the radius of a circle:
Remember that a radius is a line segment connecting the center of the circle to a point that lies on the circle itself.
In drawing A, the line doesn't touch any point on the circle itself.
In drawing B, the line doesn't pass through the center of the circle.
We can see that in drawing C, the line that extends from the center of the circle is indeed connected to a point on the circle itself.
Answer: