Circle Definitions Study Notes

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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?

<p>A segment whose endpoints are on the circle.</p> Signup and view all the answers

What is an arc?

<p>Part of the circumference of a circle.</p> Signup and view all the answers

What is a major arc?

<p>An arc that is larger than a semicircle.</p> Signup and view all the answers

What is a minor arc?

<p>An arc that is smaller than a semicircle.</p> Signup and view all the answers

What is a semi-circle?

<p>A half of a circle or of its circumference.</p> Signup and view all the answers

What is a central angle?

<p>An angle whose vertex is the center of the circle.</p> Signup and view all the answers

What is an inscribed angle?

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

What is a secant line?

<p>A line that intersects the circle at two points.</p> Signup and view all the answers

What is a tangent line?

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

What are concentric circles?

<p>Two or more circles with a common center.</p> Signup and view all the answers

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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.

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