Radius of a circle 41 units length of chord 80 units find distance of the chord from the center of the circel
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Draw perpendicular for the centre to the chord, it will divide the chord in two equal parts (theorem) let the distance between centre and chord be x
We get rt triangle,
hypo = Radius = 41
Base = 1/2 chord = 40
Using pythagoras theorem,
Height = x = √41² - 40²
= √(41-40)(41+40) = √1×81 = √81 = 9 units
The distance between centre and the chord is 9 units
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