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#circle#arc#centralangle CENTRAL ANGLE AND ARC MEASURE #centralangle#arcmeasures Arcs and Angles of Circles An arc (⏜ ) is the part of a circle included between any two of its points. Any two points of a circle divide it into two arcs. If two points of a circle divide it into two arcs, and the arcs are unequal, the smaller is the minor arc and the larger the major arc. A semicircle is an arc which is one half of a circle. A quadrant is an arc which is one fourth of a circle. Note: A minor arc is named by its endpoints, while a major arc requires the use of three points. A central angle of a given circle is an angle whose vertex is at the center of the circle. An angle intercepts an arc if and only if 1.) The endpoints of the arc lie on the angle. 2.) Each side of the angle contains the endpoint of the arc, and 3.) Except for its endpoints the arc lies in the interior of the angle. Measure of an Arc of a Circle The unit of measure used in an angle is degree. The arc which a central angle of one-degree intercepts on a circle is called an arc degree and is the unit for measuring arcs of a circle. Since the number of degrees about a point is 360, the number of arc degrees in a circle is 360. Remark: Based on the definition, an arc is major if its measure is greater than 180° and an arc is minor if its measure is less than 180°. MUST WATCH! 0:42 Parts of Circle 0.28 Definition of Arc 2:44 Minor Arc and Major Arc 3:28 Semicircle and Quadrant 7:28 Definition of Central Angle 8:30 Intercepted Arc 9:25 Arc Measure circles#anglemeasures#arcmeasure#angles#centralangles#inscribed#angles#tangents#arcs#secants#chords#geometry#interceptedarcs#anglemeasurement#tangent#chord#grade10math,circles#arcsincircles#minorarc#majorarcs#centralangles#incribedangles#math10angles#problems#chord#chordangles#secant#secantangles#examples#secant#tangentanglestangent#tangentangles#congruentarcs