Using the circumference of the circle, it is found that:
About 7.1 feet of railing needs to be replaced.
The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex]
It is equivalent to 360º.
In this problem, the diameter is of 30 feet, hence the radius is 15 feet, so:
[tex]C = 2\pi (15) = 30\pi[/tex]
Then, considering that the circumference is equivalent to 360º, the length to be replaced is given by:
[tex]L = \frac{27}{360} \times 30\pi = 7.1[/tex]
About 7.1 feet of railing needs to be replaced.
More can be learned about the circumference of a circle at https://brainly.com/question/25846963
