![]() ![]() Also, the perpendicular distance from the chord to the centre is 4 cm. Q.1: Find out the length of the chord of a circle with radius 7 cm. ![]() It generalizes a circle, which is the special type of ellipse in which the two focal points are the same. This is the idea (a,b,c and d are lengths): And here it is with some actual values (measured only to whole numbers): And we get. Solved Examples for Chord Length Formula. The length of a chord increases as the perpendicular distance from the center of the circle to the chord decreases and vice versa. In particular, the length of an arc of a circle of radius 'r' that subtends an angle at the center is calculated by the formula r × (/180) if the angle is in degrees and if the angle is in radians, then the arc length is r. ![]() In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. The length of an arc is longer than any straight line distance between its endpoints (a chord). Ellipses: examples with increasing eccentricity ![]()
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