A chord 6cm long is drawn in a circle with a diameter equal to 10cm. Find its perpendicular distance from the centre.i
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Step-by-step explanation:
Perpendicular bisects the circle in two equal parts
Therefore half of 6 cm will be 3cm.
The hypotenuse of the circle is its radius.
Therefore the radius is 5 cm as th diameter is 10cm.
By Pythagoras theorem
(Hypotenuse)^2 = base^2 + height^2
5^2= 3^2+height^ 2
height^2 = 25-9=16
height^2= 16
height=√16=4
Therefore the perpendicular distance is 4cm
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