The Intersecting Chords Angle Theorem states that the measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs. A chord is a straight line joining two points on the circumference of a circle. It is the longest possible chord in the circle. Circles equation of a circle, geometric problems on a grid. The diameter is a special chord, which passed through the center of the circle, and its length is 2r. The Chord/Tangent Angle Theorem states that the measure of an angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc. What is a Chord in Geometry Geometry Help Chords A chord is a straight line connecting two points on the circle. The distance from the center to the outer rim of a circle. The point where the tangent line touches the circle. The arc that is inside an inscribed angle and whose endpoints are on the angle. The length of a diameter is two times the length of a radius.Īn angle with its vertex on the circle and whose sides are chords. The set of all points that are the same distance away from a specific point, called the center.Ī chord that passes through the center of the circle. If the vertex of an angle is _ a circle, then its measure is _ the intercepted arc.Īn angle formed by two radii and whose vertex is at the center of the circle.Ī line segment whose endpoints are on a circle.If the vertex of an angle is _ a circle, then its measure is the average of the _ arcs.
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