The radius of a circle is 17.0 cm and the
length of perpendicular drawn from its centre
to a chord is 8.0 cm. Calculate the length of
the chord.
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Answer:
The length of the chord is 30 cm.
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Radius r=17 cm
Length of perpendicular p=8cm
Length of chord l=2x cm
Length of half chord=x cm
According to pythagoras theorem, in right angled triangle
(Hypotenuse)^2=(side 1)^2+(side 2)^2
17^2=x^2+8^2
289=x^2+64
x^2=225
x=15cm
Length of chord=2x=30cm
Length of perpendicular p=8cm
Length of chord l=2x cm
Length of half chord=x cm
According to pythagoras theorem, in right angled triangle
(Hypotenuse)^2=(side 1)^2+(side 2)^2
17^2=x^2+8^2
289=x^2+64
x^2=225
x=15cm
Length of chord=2x=30cm
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