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#4 – Circles – Chords of a Circle | Practice Question | You can find all the song chords here
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#4 – Circles – Chords of a Circle | Practice Question
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Question: In the circle with centre O, AB and CD are equal chords. Prove that OP=OQ.
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Theorem:
The straight line joining the centre of the circle to the midpoint of a chord is perpendicular to the chord.
The perpendicular from the centre of a circle to a chord bisect the chord.
In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle’s center point is the circle’s diameter. The word chord is from the Latin chorda meaning bowstring.
The center of a circle is the point equidistant from the points on the edge. Similarly the center of a sphere is the point equidistant from the points on the surface, and the center of a line segment is the midpoint of the two ends.
The radius of a circle is the length of the line from the center to any point on its edge. The plural form is radii (pronounced “ray-dee-eye”). In the figure above, drag the orange dot around and see that the radius is always constant at any point on the circle.
A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Chord theory is a common rule that could appear in many examinations including secondary school, ordinary level and other mathematics examinations.
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#4 – Circles – Chords of a Circle | Practice Question.
circles chords.
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