Two More Ways (Of 4!) to Draw Arcs

Описание: Here are 2 more ways to draw arcs that are accurate and that will fit a predetermined dimension. One of these methods allows you to use a predetermined arc radius.

#arcs #drawingarcs #designdrawings #arches

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Arcs are very common in home construction, furniture design, sign making, and architecture. Usually, the arc needs to fit in a space of predetermined width or height. Sometimes, but not as often, the radius of the arc needs to be determined or used. If a large radius is used, it becomes awkward to actually use the radius due to the amount of room needed. In these cases, it’s better to use (somewhat) simple algebraic formulas to determine the layout.

This episode will show methods 3 and 4 for drawing an arc of a predetermined height and width. These dimensions are more commonly known than the radius of the arc, or the size of the circle that the arc is being “sliced” off of.

You can view Episode One where DirtFarmerJay shows you how to draw a fair arc using a flexible piece of material and nails for one method, and nails and a tapered board for the second method.

See Episode One - Two (of 4) Easy Ways to Draw Perfect Arcs - here:    • Two (of 4!) Easy Ways to Draw Perfect Arcs  

Method 3 can be used when you know both the height of the arc, as well as the baseline width. Using paper, 5 nails, 2 wooden yardsticks/lath pieces, and a pencil, you can easily draw a fair arc.

Method 4 is used when you know only two of the three dimensions of an arc: 1.) the width (baseline) of the arc, 2.) the highest point of the arc from the center of baseline (known properly as the sagitta), and 3.) the radius of the arc. In all fairness, this is a “somewhat” simple way. It takes calculating, using an algebraic formula.

Frankly, this DirtFarmer ain’t smart enough to figure these things out on his own. I reached out to www.freemathhelp.com and asked about how to figure this out. Dr. Peterson responded almost immediately with authoritative information and the link provided below. Thanks, Dr. Peterson, for pointing me (and ultimately our viewers) in the right direction. YOU ROCK.

The link Dr. Peterson supplied offers three different formulae, the one you choose depends on what dimension you are missing.

For instance, if you know the height (sagitta) of your arc, as well as the baseline, but want to determine the radius, one method will work. So it goes for each calculation. If you know two dimensions, but are missing the third, you can calculate it with the appropriate formula.

To access the formulae, visit: https://en.wikipedia.org/wiki/Sagitta...)

Watch for future episodes where we’ll show you methods for drawing true whole and partial ellipses (ovals).

Drawing arcs beautifully is a great skill you’ll use over and over again as a maker, and you can JUST DO IT YOURSELF!

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