Circle and its chords (वृत्त और उसकी जीवाएँ) In Hindi
वृत्त (Circle) परिभाषा: – वृत्त एक ज्यामितीय आकार है जो एक निश्चित केंद्र में एक समान दूरी पर स्थित बिंदुओं के समूह को संदर्भित करता है। वृत्त का मध्यबिंदु केंद्र होता है ।
जीवा (chords) : वृत्त पर स्थित किन्हीं दो बिंदुओं को मिलाने वाली रेखा को जीवा कहा जाता है।
Circle and its chords In English
Circle : – A circle is a geometrical shape defined as the set of all points in a plane that are equidistant from a fixed point called the center.
Circle Formulas
- perimeter of circle = 2πr
Where r is the radius of the circle. - Area of circle = πr²
- diameter of circle = 2r
- Length of chord = 2r sin(θ/2)
Chords : – A chord of a circle is a straight line segment whose endpoints both lie on the circle. It essentially divides the circle into two segments, one called the major segment and the other called the minor segment.
Formula
- Length of chord = 2r sin(θ/2)
- Length of chord = 2\( \sqrt{r²−d²} \)
where ‘r’ is the radius of the circle and ‘d’ is the perpendicular distance from the chord to the center of the circle.
Properties of Chord of a Circle
When a perpendicular is drawn to the chord from the center of the circle then it bisects the chord.
Chords of the circle which are equidistant from the center of the circle are equal.
When there are three collinear points then they pass through one and only one circle.
When we draw the chord of the circle, it divides the circle into two segments i.e. major segment and minor segment.
Well a secant is the one when the chord is extended infinity on both the sides.
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