Transcription of Angles in a Circle and Cyclic Quadrilateral
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Angles in a Circle and Cyclic Quadrilateral
130 Mathematics19 Angles in a Circle and Cyclic INTRODUCTIONYou must have measured the Angles between two straight lines, let us now study the anglesmade by arcs and chords in a Circle and a Cyclic OBJECTIVESA fter studying this lesson, the learner will be able to :zprove that Angles in the same segment of a Circle are equalzcite examples of concyclic pointszdefine Cyclic quadrilateralszprove that sum of the opposite Angles of a Cyclic Quadrilateral is 180 zuse properties of a Cyclic quadrilateralzsolve problems based on Theorems (proved) and solve other numerical problems basedon verified EXPECTED BACKGROUND KNOWLEDGEzAngles of a trianglezArc, chord and circumference of a circlezQuadrilateral and its Angles IN A CIRCLEC entral Angle. The angle made at the centre of a Circle by theradii at the end points of an arc (or a chord) is called the centralangle or angle subtended by an arc (or chord) at the Figure , POQ is the central angle made by arc length of an arc is closely associated with the central angle subtended by the arc.
Angles in a Circle and Cyclic Quadrilateral 131 The degree measure of a minor arc of a circle is the measure of its corresponding central angle.
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