Answer:
x = 16.4
Step-by-step explanation:
From the diagram, we can see that the radius of the circle is 19.4 as the line labelled 19.4 goes from the centre to the edge of the circle.
Therefore the length of the line marked in green is also 19.4 units, as it is also a radius of the circle.
Now we can simply use the Pythagorean Theorem to calculate the value of [tex]x[/tex]:
[tex]19.4^2 = x^2 + 10.3^2[/tex]
⇒ [tex]x^2 = 19.4^2 - 10.3^2[/tex]
⇒ [tex]x = \sqrt{19.4^2 - 10.3^2}[/tex]
⇒ [tex]x = \bf 16.4[/tex]
Therefore the length of the indicated segment is 16.4 units.
