The value of x to the nearest tenth is 8.9 cm.
The radius of the circle is 5 centimetres. Line segment ab is a diameter of the circle.
The diameter of the circle is twice the length of the radius.
Hence, the value of x can be found as follows:
AB = 10 cm
Using Pythagoras theorem,
c² = a² + b²
where
Therefore,
10² - 4.5² = x²
100 - 20.25 = x²
x² = 79.75
x = √79.75
x = 8.93028554975
x = 8.9
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