Question
In a circle of radius 5√13 cm, a chord is at a
distance of 10 cm from the centre of the circle. Find the length (in cm) of the chord.ÂSolution
In a circle, a perpendicular line from the center to a chord bisects the chord. So we form a right triangle: One leg = distance from center to chord = 10 cm Hypotenuse = radius = 5√13cm Half of the chord = unknown (let's call it x) Apply the Pythagorean Theorem: 
So, half the chord = 15 cm Therefore, full chord length = 2×15= 30 cm
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