Answer:
2 units.
Step-by-step explanation:
In this question we use the Pythagorean theorem which is shown below:
Given that
The right triangle OMP
The hypotenuse i.e OM is the circle radius =5 units.
The segment MP = 4 units length
Therefore
[tex]OP^2 + MP^2 = OM^2[/tex]
[tex]OP^2 + 4^2 = 5^2[/tex]
[tex]OP^2 + 16 = 25[/tex]
So OP is 3
Now as we can see that ON is also circle radius so it would be 5 units
And,
ON = OP + PN
So,
PN is
= ON - OP
= 5 units - 3 units
= 2 units
