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A circle is a closed figure in a| Angle subtended by an arc], plane and itis the collection of of acircle, , all those points in the plane, '* The angle subtended by an arc, , , , which are at a constant at the contre is double the, , distance from a fied point in angle subtended by it at any, plane. point on the remaining part of, , The fixed point is called the the circle., , centre of the circle and the | The angle subtended in al, , constant distance is called the), , semicircle is a right angle, radius of the circle “gntang, , ls Angles in the same segment of, , , , , , , , , , , , , , , , , , , , , , There is one and only one! a cele ae equal, circle passing through three|, given points, , 0 Pr ties of cycli, , roperties of eye, , wy ona, , oO = The sum of either pair of, Properties of equal chords x opposite angles of a cyci, Equal chords of a circle = quadrilateral is 180", subtend equal angles at the oO ‘+f the sum of a pair of opposite, centre of the ccle angles. of a quadilateral is, , , , If the angles subtended by the! 4180", the quadniateral is cycic., , chords of a circle at the centre|, are equal, then the chords are|, , , , , , , , equal Perpendicular from the, , Equal chords of circle (or of] centre to a chord, , congruent circles) are". The perpendicular drawn from, ‘equidistant from the centre (or the centre ofa circle to a chord, centres of respective circles). ofthe circle bisects the chord, Chords equidistant from the| ‘+ The line drawn through the, contre of a circle (or from the| centre of a citcle to bisect al, respective centres of congruent chord is perpendicular to the|, , circles) are equal in length, chord.