![]() Each line segment can be thought of as being divided in two parts by the point where the two line segments intersect (in the image below these parts are a and b for the first line segment, and c and d for the second line segment). So, the central angle subtended by the chord is 127.2 degrees.Mathematician: The Intersecting Chords theorem asks us to consider two intersecting line segments inside of a circle (such that each line segment starts and ends on the edge of the circle). Now calculate the angle subtended by the chord. Therefore, the length of the chord PQ is 36 cm.Ĭalculate the length of the chord and the central angle of the chord in the circle shown below. Thus, the perpendicular distance is 6 yards.Ĭalculate the length of the chord PQ in the circle shown below.īy the formula, length of chord = 2r sine (C/2) Given that radius of the circle shown below is 10 yards and the length of PQ is 16 yards. Therefore, the radius of the circle is 25 inches. Length can never be a negative number, so we pick positive 25 only. Suppose the perpendicular distance from the center to the chord is 15 inches. The length of a chord of a circle is 40 inches. ![]() Calculate the chord’s length if the circle’s diameter is 34 m.ĭiameter, D = 34 m. The perpendicular distance from the center of a circle to the chord is 8 m. Given radius, r = 14 cm and perpendicular distance, d = 8 cm,īy the formula, Length of chord = 2√(r 2−d 2) The radius of a circle is 14 cm, and the perpendicular distance from the chord to the center is 8 cm. Let’s work out a few examples involving the chord of a circle. If the radius and central angle of a chord are known, then the length of a chord is given by,Ĭ = the angle subtended at the center by the chordĭ = the perpendicular distance from the center of a circle to the chord.
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