Two chords of a circle of length 10 cm and 8 cm are at the distance 8.0 cm and 3.5 CM respectively from the centre. state true and false and give reason.
Answers
Answer:
Two chords of a circle of length 10 cm and 8 cm are at the distance 8.0 cm and 3.5 CM respectively from the centre. state true and false and give...Circle, radius, diameter, chord, segment, cyclic quadrilateral.
• Equal chords of a circle (or of congruent circles) subtend equal angles at the
centre,
• If the angles subtended by the chords of a circle (or of congruent circles) at the
centre (or centres) are equal, then the chords are equal,
• The perpendicular drawn from the centre of the circle to a chord bisects the chord,
• The line drawn through the centre of a circle bisecting a chord is perpendicular to
the chord,
• There is one and only one circle passing through three given non-collinear points,
• Equal chords of a circle (or of congruent circles) are equidistant from the centre
(or centres),
• Chords equidistant from the centre of a circle are equal in length,
• If two chords of a circle are equal, then their corresponding arcs are congruent
and conversely, if two arcs are congruent, then their corresponding chords are
equal,
• Congruent arcs of a circle subtend equal angles at the centre,
• The angle subtended by an arc at the centre is double the angle subtended by it at
any point on the remaining part of the circle,
• Angles in the same segment of a circle are equal,
• If a line segment joining two points subtends equal angles at two other points lying
on the same side of the line containing the line segment, then the four points are
concyclic,
CIRCLES
CHAPTER 10
16/04/18 16/04/18
9 8 EXEMPLAR PROBLEMS
• The sum of either pair of opposite angles of a cyclic quadrilateral is 180º,
• If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is
cyclic.
Step-by-step explanation:
Step-by-step explanation:
Answer:
Two chords of a circle of length 10 cm and 8 cm are at the distance 8.0 cm and 3.5 CM respectively from the centre. state true and false and give...Circle, radius, diameter, chord, segment, cyclic quadrilateral.
• Equal chords of a circle (or of congruent circles) subtend equal angles at the
centre,
• If the angles subtended by the chords of a circle (or of congruent circles) at the
centre (or centres) are equal, then the chords are equal,
• The perpendicular drawn from the centre of the circle to a chord bisects the chord,
• The line drawn through the centre of a circle bisecting a chord is perpendicular to
the chord,
• There is one and only one circle passing through three given non-collinear points,
• Equal chords of a circle (or of congruent circles) are equidistant from the centre
(or centres),
• Chords equidistant from the centre of a circle are equal in length,
• If two chords of a circle are equal, then their corresponding arcs are congruent
and conversely, if two arcs are congruent, then their corresponding chords are
equal,
• Congruent arcs of a circle subtend equal angles at the centre,
• The angle subtended by an arc at the centre is double the angle subtended by it at
any point on the remaining part of the circle,
• Angles in the same segment of a circle are equal,
• If a line segment joining two points subtends equal angles at two other points lying
on the same side of the line containing the line segment, then the four points are
concyclic,
CIRCLES
CHAPTER 10
16/04/18 16/04/18
9 8 EXEMPLAR PROBLEMS
• The sum of either pair of opposite angles of a cyclic quadrilateral is 180º,
• If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is
cyclic.
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