What happens when a Modifier is attached to and thus modifies a word it ought not to modify?

Since the modifier is modifying the incorrect word, it is a dangling modifier. As a result, the meaning of the sentence is affected.

Explanation:    

A dangling modifier is a word, phrase, or clause that is not in the right position in a sentence. As a result, the dangling modifier is operating over another word, phrase, or clause. Consequently, the sentence can be hard to understand, or can have another meaning than the intended one, or has no sense.

b. he wants to keep from being identified by former masters.

explanation:

the answer is

r ≈5.641

plug in the area of 100 yards into the equation

100=

divide each side by pi

≈ 31.8309=

take the square root of each side to find r

=r

r ≈5.641