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PROPERTIES of CIRCLES

PROPERTIES of CIRCLES. Arc The angle at the centre is twice the size of angle on the circumference Angles on the circumference standing on the same arc are equal The angle in a semi-circle is a right angle Tangent

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PROPERTIES of CIRCLES

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  1. PROPERTIES of CIRCLES

  2. Arc • The angle at the centre is twice the size of angle on the circumference • Angles on the circumference standing on the same arc are equal • The angle in a semi-circle is a right angle • Tangent • The angle between a tangent and the radius drawn to the point of contact is 90o • From any external points, two equal tangents can be drawn • An angle formed by a tangent with a chord drawn to the point of contact is equal to the angle in the alternate segment • Cyclic Quadrilateral • The opposite angles of a cyclic quadrilateral are supplementary • The exterior angles of a cyclic quadrilateral is equal to its interior opposite angles • Chord • Equal chords are equal distance from the center • Perpendicular bisector of a chord passes through the center of the circle • Equal chords subtend equal angles at the centre • When two circles intersect, the segment joining their centers bisects the common chord at right angles • The products of the intercepts of intersecting chords are equal

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