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When two straight lines cross a circle, the part of the circle between the intersection points is called the intercepted arc. The lines intercept, or 'cut off', the arc. Usually the two lines are the arms of an angle, as in the figure above, but this is not always the case.
Illustrated definition of Intercepted Arc: The part of a circles circumference formed when a line or lines cut across it.
In these lessons, we will learn some formulas relating the angles and the intercepted arcs of circles. Measure of a central angle. Measure of an inscribed angle: angle with its vertex on the circle
21 lis 2023 · An intercepted arc is formed when two lines go through the circumference of the circle and share a common point, or vertex. The portion of the circle's...
= (SUM of Intercepted Arcs) In the diagram at the right, ∠ AED is an angle formed by two intersecting chords in the circle. Notice that the intercepted arcs belong to the set of vertical angles.
An angle formed by a chord (link) and a tangent (link) that intersect on a circle is half the measure of the intercepted arc. x = 1 2 ⋅ m ABC x = 1 2 ⋅ m A B C ⏜. Note: Like inscribed angles, when the vertex is on the circle itself, the angle formed is half the measure of the intercepted arc.
