Circle Definitions Study Notes

Questions and Answers

What is a circle?

The distance across a circle through its center

The set of all points in a plane that are at different distances from a center

The set of all points in a plane that are the same distance from a given point called the center (correct)

A segment whose endpoints are on the circle

What is the radius of a circle?

A straight line from the center to the perimeter of a circle.

What is the diameter of a circle?

The distance across a circle through its center.

What is a chord in a circle?

A segment whose endpoints are on the circle. Signup and view all the answers

What is an arc?

Part of the circumference of a circle. Signup and view all the answers

What is a major arc?

An arc that is larger than a semicircle. Signup and view all the answers

What is a minor arc?

An arc that is smaller than a semicircle. Signup and view all the answers

What is a semi-circle?

A half of a circle or of its circumference. Signup and view all the answers

What is a central angle?

An angle whose vertex is the center of the circle. Signup and view all the answers

What is an inscribed angle?

An angle whose vertex is on a circle and whose sides are chords of the circle. Signup and view all the answers

What is a secant line?

A line that intersects the circle at two points. Signup and view all the answers

What is a tangent line?

A line in the plane of a circle that intersects the circle in exactly one point. Signup and view all the answers

What are concentric circles?

Two or more circles with a common center. Signup and view all the answers

Study Notes

Circle Definitions Study Notes

Circle: A set of all points in a plane equidistant from a central point, known as the center.
Radius: A straight line segment connecting the center of the circle to any point on its perimeter.
Diameter: The longest distance between two points on a circle, passing through the center.
Chord: A line segment whose endpoints lie on the circumference of the circle.
Arc: A portion of the circle's circumference, representing a continuous part of its boundary.
Major Arc: An arc greater than half the circumference of the circle; identified using three letters, with the middle letter indicating the point passed over.
Minor Arc: An arc smaller than half the circumference; described using only two letters.
Semi-circle: Exactly half of a circle, including half of its circumference.
Central Angle: An angle with its vertex at the circle's center, where the angle measure corresponds directly to the measure of its intercepted arc.
Inscribed Angle: An angle formed with its vertex on the circle, utilizing two chords as its sides. Its measure is half that of the arc it intercepts.
Secant Line: A line that intersects a circle at two distinct points.
Tangent Line: A line that touches the circle at exactly one point, indicating the circle’s boundary without crossing it.
Concentric Circles: Two or more circles sharing the same center point, differing in radius.

Description

This quiz covers essential definitions related to circles, including key terms such as radius, diameter, and chord. Understanding these concepts is crucial for grasping further circle geometry and applications. Test your knowledge and enhance your understanding of circular geometry.