Figuring out area on platted land with curve

[Too many questions]

Hello. I am a trainee and I keep running into platted lots that are on the corner. I have the dimensions of length and width and the radius of the curve. I can get approximate measurements but I was wondering if I can get exact. For example: 130x75 with one corner having a radius of 25.. It seems to me from the plat that the 130x75 would be the area of there was no curve but the actual area should be a little less. Thanks in advance for the help!

 

[shrubberyvaluation]

Unless you have a survey it probably is not exact anyhow. My MLS calculates it based on the dimensions. I typically use the tax records unless for some reason they are significantly off.

 

[Elliott]

Area 1 = 25 x 25 = 625

Area 2 = 3.1416 x 25 x 25 / 4 = 491 (Pi r^2)

Not part of the lot 75 x 130 is therefore 625-491 = 134 sf

 

[Too many questions]

Area 1 = 25 x 25 = 625

Area 2 = 3.1416 x 25 x 25 / 4 = 491 (Pi r^2)

Not part of the lot 75 x 130 is therefore 625-491 = 134 sf

I see what you did with area 2… a quarter of a circle is the area of the curve
I don’t know what you did with area 1?
Thanks for your time

 

[Too many questions]

Unless you have a survey it probably is not exact anyhow. My MLS calculates it based on the dimensions. I typically use the tax records unless for some reason they are significantly off.

My supervisor only uses the PA measurements as a last resort. So I’m trying to figure out land size often from deeds. Plats are the easiest but even then this stuff happens

 

[TerryRohrer]

Around here, the Assessor is almost never wrong regarding the size of tracts. They are the only ones tracking such changes as eminent domain takings, etc, after the initial plat is filed. We also have plats available online, so the length of curves is typically on the plat. If I don't have those sources, the Assessor has all tracts online with a tool that can be used to roughly measure dimensions. What is the PA you refer to?

 

[Mike Kennedy]

Arc Length - Formula, How to Find Length of an Arc | Arc of a Circle

Arc of a circle is a portion of its circumference. Thus, the arc length of a circle is a fraction of its circumference. If θ degrees is the central angle made by an arc of a circle, then the arc length formula is θ/360 x 2πr.

www.cuemath.com

 

[Terrel L. Shields]

Around here, the Assessor is almost never wrong regarding the size of tracts.

Ours are often calculated by GIS - The link goes to the actual tax data and it expresses the size in SF.

 

[WestMichiganCG]

The problem you stated can be done by hand but I deal with bearings and exceptions all the time. I use a very affordable program called Net Deed Plotter.

 

[Overimprovement]

Some options:
1) If your assessor has GIS, usually you can measure distances and areas with the parcel line overlays. Inexact, but better than nothing.
2) Often, the deed will state the exact acreage and or distances, which are pulled from the actual survey/legal description.
3) Speaking of surveys, if your county allows you to view them, look at the survey directly.
4) I have never had any kickback regarding parcel dimensions and lot size as long as I explain what I did, and efforts to find exact measurements. Even on FHA. If any lender wants better, and its not readily available to review, they can supply the full legal/survey or whatever else is needed. Legals in my area often do note the actual metes and bounds calls. Same with deeds, which just include the legal.
5) There are programs which will calculate exact lot size given the precise dimensions, but you need to input both the angles AND distances, which usually are not available without a full metes and bounds legal description, especially when a stream or road forms part of the boundary. This seems like overkill when an estimate will get you within 1% usually.