![]() ![]() We can see above that 2 regions are formed by 1 chord connecting 2 points on a circle and that 4 regions are. Chord Length Using Perpendicular Distance from the Centre of the circle: \(C_\\ = 2 \times 5. This problem starts out innocently enough.Figure 1 A circle with four radii and two chords drawn. This would make m 1 m 2, which in turn would make m m. Therefore, the two basic formulas for finding the length of the chord of a circle are as follows Arcs and Chords In Figure 1, circle O has radii OA, OB, OC and OD If chords AB and CD are of equal length, it can be shown that AOB DOC. Thus using Pythagoras theorem, we may find the length of the chord CD easily. It is due to the fact that perpendicular drawn from centre O on chord CD will be the bisector of CD. We may also calculate the chord length if we know both the radius and the length of the right bisector. We may determine the length of the chord from the length of the radius and the angle made by the lines connecting the circle’s centre to the two ends of the chord CD. the longest chord, ‘OE’ will be the radius of the circle and line CD represents a chord of the circle, whereas curve CD will be the arc. In the given circle having ‘O’ as the centre, AB represents the diameter of the circle i.e. ![]() The same two points are connected by the curve in the form of the corresponding arc in the circle. ![]() 3 Solved Examples for Chord Length Formula What is a Chord in a Circle?Ī chord is the line segment in a circle, which connects any two points on the circumference of the circle. ![]()
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