![]() When we draw many chords in a circle from the diameter to both ends, we will notice that the chord lengthens as we get closer to the centre. Theorem 3: In a circle with two unequal chords, the larger chord is closer to the centre than the smaller chord. To understand the theorem, look at the circle below, where chord AB Equals chord CD and they are equidistant from the centre if PO = OQ. Theorem 2: The chords of a circle that are equidistant from the circle’s centre are equal. To understand the theorem, consider the a circle, in which OP is the perpendicular bisector of chord AB and the chord is bisected into AP and PB. Theorem 1: The chord is bisected by a perpendicular drawn from the circle’s centre. The length of a chord is determined by, if the radius and central angle of a chord are known.Ĭ = the chord’s subtended angle at the middleĭ is the perpendicular distance between the circle’s centre and the chord. Given the radius and central angle, the length of a chord ![]() If you know the radius length and the distance between the centre and the chord, you can use the formula to get the chord length. Given the radius and distance to the centre of a circle, the length of a chord. Each formula is applied based on the data provided. The length of a chord can be calculated using two formulas. When a chord is prolonged indefinitely on both sides, it is called a secant. When a circle chord is drawn, it divides the circle into two sections, which are referred to as the major and minor segments of the circle. The only circle that goes through three collinear points is the one and only circle. The chords of a circle that are equidistant from the circle’s centre are equal. The chord is bisected by the perpendicular to a chord drawn from the circle’s centre. Circle’s Chord PropertiesĪ few key properties of a circle’s chords are listed below. A chord that goes through the centre of the circle is also known as a diameter. The circle’s circumference is where the line segments’ termination are located. Chord of circleĪ circle’s chord is a line segment connecting any two points on the circle. A diameter is the distance between two semicircles in a circle. Semicircles: A half-circle is referred to as a semicircle. Radius: The radius of a circle is a line segment that connects the circle’s centre to any point on its circumference.ĭiameter: The diameter of a circle is the line segment that begins at any point on the circumference of the circle, passes through the centre, and ends at the opposite side of the circle’s circumference.Ĭircumference: The circumference of a circle is the circumference of the circle’s boundary. Circle’s Different ComponentsĬentre: The centre of a circle is the place inside the circle from which the distances to the points on the circumference are equal. ![]() The word “chord” comes from the Latin word “chorda,” which literally means “bowstring. The Chord that passes through the centre of the circle is known as the Diameter. The circle’s circumference contains the endpoints of these line segments. A chord is a piece of a line that joints any two points on a circle. The chord is one of the many line segments that can be drawn in a circle, with its endpoints on the circumference. The chord of the circle is a line segment that connects two places on the circle’s circumference. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |