radius of a circle is 20cm difference between two equal and parallel chords is 24 cm find the length of the chords
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Answer:
Radius=20cm
Distance between chords =24cm
Let the length of chord is 2x
Half the length of chord is x(base)
Distance of each chord from center is 12cm(perpendicular)
Radius is 20cm(hypotenuse)
From pythagoras,
20^2=x^2 + 12^2
400=x^2+144
400-144=x^2
256=x^2
x=16
So, the length of chord is 2x=32cm
Step-by-step explanation:
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