all the theorem of circle
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Many types of theorem of circle.....
prince376:
which type circle
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there are many theorem in circles.
THEOREM -1 : Equal chords if a circle subtended equal angles at the centre.
THEOREM -2: If the angles subtended by the two chords at the centre of a circle are equal, then the chords are equal.
THEOREM -3: The perpendicular from the centre of a circle to a chord bisects the chord.
THEOREM -4: The line joining the centre of a circle to the mid-point of a chord is perpendicular to the chord.
THEOREM -5: There is one and only one circle passing through three non-collinear points.
THEOREM -6: Equal chords of a circle are equidistant from the centre.
THEOREM -7: The angle subtended by an arc of a circle at the centre is double the angle subtended by it any point in remaining part of the circle.
THEOREM -8: Angles in the same segment of a circle are equal.
THEOREM -9: "Angle in a semi circle is a right angle".
THEOREM -10: The arc of a circle subtending a right angle at any point on the remaining circlethen it is a semi circle.
THEOREM -11: If a line segment joining two points subtended equal angles at two points lying on the same side of the line containing the segment,the four points are concyclic.
THEOREM -12: The sum of the opposite angles of a cyclic quadrilateral is 180°.
THEOREM -13: If the sum of any pair of opposite angles of a quadrilateral is 180° , it is concyclic.
THESE ARE THE THEOREMS OF THE CIRCLE.
THEOREM -1 : Equal chords if a circle subtended equal angles at the centre.
THEOREM -2: If the angles subtended by the two chords at the centre of a circle are equal, then the chords are equal.
THEOREM -3: The perpendicular from the centre of a circle to a chord bisects the chord.
THEOREM -4: The line joining the centre of a circle to the mid-point of a chord is perpendicular to the chord.
THEOREM -5: There is one and only one circle passing through three non-collinear points.
THEOREM -6: Equal chords of a circle are equidistant from the centre.
THEOREM -7: The angle subtended by an arc of a circle at the centre is double the angle subtended by it any point in remaining part of the circle.
THEOREM -8: Angles in the same segment of a circle are equal.
THEOREM -9: "Angle in a semi circle is a right angle".
THEOREM -10: The arc of a circle subtending a right angle at any point on the remaining circlethen it is a semi circle.
THEOREM -11: If a line segment joining two points subtended equal angles at two points lying on the same side of the line containing the segment,the four points are concyclic.
THEOREM -12: The sum of the opposite angles of a cyclic quadrilateral is 180°.
THEOREM -13: If the sum of any pair of opposite angles of a quadrilateral is 180° , it is concyclic.
THESE ARE THE THEOREMS OF THE CIRCLE.
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