Street line

I'll start: 430'

Or 423.56'

AGGGGGH! I thought I had seen the last of such questions upon graduating from college. Professors love to challenge students with such bizarre questions.

The answer depends on who is asking the question and what the ultimate answer is to solve their current dilemma. Thus, I see three workable answers. The one answer listed that is incorrect is: 400. The curve is no more tied to one street than the other.

I would have to see a sketch showing the interpretation if I were to accept anything but 430.

My guess is the center of the 30 feet radius arc which is 423.56 feet.

Here's a scenario: My lot is on the N side of an existing e-w street. A new subdivision is created on the north side as well, with several lots, and a street running N @ 90°. The the west line of the new street is filleted with the existing N street line with a 30' radius. Now how far is the west line of the new street?

430' to the west line. A different distance to some point on the west curve.

In the drawing, the 400 foot square to the south of the road is sergeant-shultz's lot. The drawing is not quite to scale. Since I get to make up anything not specified in the question, the government owns the roadbed in fee simple. The government owns the fillet as well as the straight parts of the road.

From the northeast corner of sergeant-shultz's lot to the start of the fillet is 400 feet. Half of the fillet goes with the north-south street, and half goes with the east-west street. From the beginning of the fillet to the midpoint of the fillet is 23.56 feet (1/8 of a 60 foot diameter circle). So the distance along the road is 423.56 feet.

P.S.: This was an excuse to start learning ArcGIS Pro, since I just learned ArcMap Desktop is going away in a few years.

In order to answer the question one has to define what is meant by "street line". So I'm going to avoid committing myself to any statement about that, and instead quote a distance "to the southerly extension of the west right of way line of Main Street, 25 feet west of the centerline thereof" or "to the southeast end of the 30 foot radius fillet at the northeast quadrant of the intersection of Main Street and 1st Avenue".

The government owns the spandrel, not the fillet.

If one of the streets were to be vacated, the street line of the crossing street would be extended in a straight line to the same street line of the adjacent block. The fillets would be ignored as they serve no purpose following vacation. In this case, the answer would be 430 feet.

Cannot think of a reason that would justify using the midpoint of the fillet curve to define the end of a street line.

Say a utility easement was requested to run parallel with the street line. A utility using a very narrow trench to install a flexible line might measure the length of that line along the arc, for some weird reason. A utility calling for a sewer line of significant diameter would not be expected to bend parallel with the fillet curve.

Creating a question of definition without parameters for the use of that definition is meaningless.

Example: During a football game, the north tip of the football might be placed at the south edge of a team's twenty yard line. How many total yards of gain will be awarded to the players on that team who eventually push the north tip of the football past the south edge of the opponent's goal line?

There is no single number that will answer that question, in the general case. Why?

I would suggest the word sector rather than fillet. I think the fillet is the curve line, not an area. Thanks for the word spandrel, as it had been too long since I'd heard it and had to look it up to be sure.