Answer:
2 units.
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
![OP^2 + MP^2 = OM^2](https://img.qammunity.org/2021/formulas/mathematics/college/96vkg0q0dhmakq78n3dmgsd5tduamuxkn1.png)
![OP^2 + 4^2 = 5^2](https://img.qammunity.org/2021/formulas/mathematics/college/nfchxxv03n1ikm3uzt83b3p7wq5apibp1p.png)
![OP^2 + 16 = 25](https://img.qammunity.org/2021/formulas/mathematics/college/v5lojs7o2g90fqbgzpg1o5aillw1yoouq8.png)
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