Let's say we have two DNA molecules of equal length, one belonging to a prokaryote and the other to an eukaryote. It's known that replication of the eukaryotic DNA is faster in this case. One clear reason for this is that linear DNA has multiple origins of replication whereas circular DNA only has one.
Now back to the real question: Does it matter for rate of replication whether the DNA is circular or linear? Does it contribute to eukaryotic DNA replication being faster in our specific case?
One thing I found in an old revision of this Wikipedia article is as such:
One reason that many organisms have evolved to having linear chromosomes is due to the size of their genome. Linear chromosomes make it easier for transcription and replication of large genomes. If an organism had a very large genome arranged in a circular chromosome, it would have the potential problems when unwinding due to torsional strain.
What I make out from this is that the rate of replication isn't directly affected. It's more closely related to avoiding other issues that arise from eukaryotic DNA molecules being typically longer than prokaryotic ones. But in our case where we declare both DNA to be of equal length, I'm assuming circular vs linear has no bearing on the rate of DNA replication.
So am I correct on my assumptions?
Edit in response to the answer below:
It's known that replication of the eukaryotic DNA is faster in this case (where DNA molecules are of equal length) because eukaryotes have linear chromosomes whereas prokaryotes have circular ones
If it makes sense to form a sentence like this, presenting linearity as the cause, then it's enough to satisfy my definition of directly affected in this case. For example, it's easy to make this claim if you present the number of origins of replication as the cause. I looked at the textbook you mentioned and the quantity of origins of replication is in fact mentioned this way.
I went ahead and did a bit more reading in that textbook. What I've understood is: An eukaryotic linear chromosome has multiple replication origins rather than a single one in order to compensate for its much larger size. So while the shape might be a factor (possibly, not certainly), the primary and "direct" reason is the difference in size, not the shape.