OB is the perpendicular bisector of the chord RS and it passes through the center of the circle. ![]() When the chord passes through the center of a circle it is called the diameter. Example: the line segment connecting two points on a circles circumference is a chord. In the above circle, OA is the perpendicular bisector of the chord PQ and it passes through the center of the circle. How do we find the length of a chord in a circle We go over circle chords, and how to find their length, in today's video math lessonGeometry sure is a bla. A line segment connecting two points on a curve. In the above circle, if the radius OB is perpendicular to the chord PQ then PA = AQ.Ĭonverse: The perpendicular bisector of a chord passes through the center of a circle. Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa. Scroll down the page for examples, explanations, and solutions.Ī chord is a straight line joining 2 points on the The following diagrams give a summary of some Chord Theorems: Perpendicular Bisector andĬongruent Chords. A chord AB intersects the diameter CE at point D, such that CD 1, DO 2, and angle BDE measures 30 degrees. If two chords in a circle are congruent, then they determine two central angles that are congruent. This is the idea (a,b,c and d are lengths): And here it is with some actual values (measured only to whole numbers): And we get.The figure shown below represents the circle and its chord. The diameter is the longest chord of the circle which passes through the center of the circle. If two chords in a circle are congruent, then their intercepted arcs are congruent. CBSE Study Material Textbook Solutions CBSE Notes What is a Chord in a Circle The chord of a circle can be stated as a line segment joining two points on the circumference of the circle. ![]()
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