Thursday, July 5, 2007

The Magic of a Circle

I love geometrics. Garments with geometric shapes, prints with geometrics, geometrics in nature. Circles are among the most fascinating of creatures.

Circular skirts are the quintessential feminine garment. And you needn't have a pattern to create one. All you need is a bit of junior high math, an improvised compass, and some wide paper.

I learned about the magic of circular skirts (and ruffles...more on those later in the week) in one of my all-time favorite sewing books, Couture - The Art of Fine Sewing by Roberta Carr. I love this book so much I've considered buying a second in case anything happens to this one. If you can only buy one sewing book for the rest of your life, buy this one.

The magic formula for circles is this:
Circumference = 2 X pi X radius
or, C=2πr

π, if you remember your geometry (remember when you thought geometry would be useless in "real life?") = 3.14, so -

C=2(3.14)r or C=6.3r

Now lets say your waist is 30" around.

A circular skirt is really a ring, made up of an interior circle at the waist and exterior circle at the hem. The length of the skirt is the distance b/w the two. Both circles are drawn from the same center point. But the radius of the outer circle = the radius of the first + length of the skirt.

If the seamline of the waist opening is 30" then the inner circle circumference must be 30". You must also add at least one set of seam allowances to the circle's circumference so that you have an opening. Let's say we'll use SA's of 5/8" for a center back seam.

C = 30" + 5/8" + 5/8"
31.25" = 6.3r
r = 4.96"

Round that to a 5" radius and the world won't come to an end.

So you will draw the inner circle with a radius of 5"

The length of your skirt of course determines the distance of the outer circle from the inner. Perhaps you want a knee length skirt of 22" with a narrow hem allowance of 5/8". You will draw the outer circle with a radius of 5" + 22 5/8" = 27 3/8" from the center.

Note: When you have to draw a circle larger than the largest width of your compass you can improvise a compass by tying a long string to a pencil. Then measure the length of the string from the pencil and mark the radius you want, in our case 27 3/8", right on the string. Stab a pin through that mark and through the center of the pattern paper and swing the pencil around to draw the circle.

****
Don't forget that the inner circle represents the waist seamline. You must also add a seam allowance above the inner circle for attachment to the waistband. (Yes, you can figure this into your calculations by subtracting the seam allowance from the radius of the inner circle, but since it's a small circle, I think it makes things simpler to just add it later.)

Once you have created your pattern and cut your fabric circle, you can cut a center back seam, preferably on an area of straight grain.

If you make a longer skirt, though, you may not be able to cut the entire skirt in one piece. You will have to cut two half circles or 4 quarter circles. You must take seam allowances into account when you are drafting. If, for example, you are going to cut the skirt in four pieces, you must add the width of 8 seam allowances to your original waist measurement. Like this:

W = 30"
SAs = 5/8" X 8
Circumference of inner circle = 30 + 5 = 35"
35" = 6.3r
r = 5.5"

Now you can draw your circles and divide them into four pattern pieces knowing that you've added in enough room for the 4 seams.

Perhaps you don't want your skirt quite as full as a whole circle. You can draft a half circle skirt. You will still need to circle your 30" waist, but with half as much volume in the skirt. You need to draft the inner circle twice as big as your waist so you can use only half of it. (For this skirt, I will add SAs after drafting b/c I simply can't get my mind around whether or not I should double those as well!)

C = 60
C=6.3r
60=6.3r
r=9.5"

Now you can draft a half circle with a radius of 9.5". Draft a second half circle for the hem plus hem allowance as above. Cut your pattern piece, and add seam allowance above the waist seamline and at center back.

Perhaps a full circle isn't full enough for you. You are tall and thin, like a human gazelle, like Heidi Klum. You can make a gathered circle skirt.

2X fullness would be about standard. But you want a fairly tale skirt in pink chiffon to wear under a silk corset bodice. So you're going to go for 3X fullness!

Simply triple the circumference of the inner circle. Obviously you will need to cut this skirt in several pieces, let's say 6 pieces.

W=30 X 3 = 90"
SAs for 6 gores = 12 X 5/8" = 7.5"
C inner circle = 97.5"
phew!
C=6.3r
97.5=6.3r
r=15.5"

Don't forget to add that waistline seam allowance now.

You're going to have to draft this one on the floor. Maybe in the front yard. But when it's done...WOW!

Next time...more circle skirt variations. Then...circular ruffles.

p.s. My brain hurts at this point. If you find a mistake in my calculations, by all means speak up!

12 comments:

Summerset said...

Check the math? Come on, I'm out of school for the summer! Just kidding!

I *love* circle skirts and your post is just great! Thank you very much.

Els said...

I do agree on your recomendation about The book by Roberta Carr, the pictures are dated but the information is time less. I used my book a lot since 1993 when I bought it. It is a great reference book.

Tany said...

The book Coutute - The Art of Fine Sewing is one of my favorite references too! The informations in that book is priceless!

cidell said...

Thanks for doing this. I have to confess I've saved reading these until I've had time to digest it all!

/anne... said...

"If the seamline of the waist opening is 30" then the inner circle radius must be 30"."

My head's stuffed up (bad cold - it's the coldest winter we've had in Melbourne for years) and I haven't done maths in mumblemumble years, but I think you meant the inner circle diameter :-)

dawn said...

Anne -

LOL! It should be "inner circle circumference" right? Thanks for the head's up!

Anonymous said...

Dawn, I have questions regarding the "half circle skirt" ..I think I understand the concept. My situation is a dance costume w/an empire waist. The half circle idea would be perfect becuz I am looking for less fullness. However I have never done a 1/2 circle pattern before. I understand that my pattern piece itself would be a 1/4 circle w/a radius of 9 or so (for a 30" area-lets say it is under the bust in this case, as in an empire waist)..so my question is: how to I lay this on the fabric?? where is my fold of fabric, etc etc. (I have just ordered the book u recommended "Couture"..cant wait to get it) Thanks

dawn said...

Anon,

Let's see if I can think this out...leaving out seam allowances all together for now. You'd have to draft a circle twice as big as you need for your waist (high waist in this case). So, if you have a 30" waist, you need a circle that is 60" in circumference. Then use half of it for your pattern.

I guess you don't have to draw the entire thing. If you figure the radius of a 60" circle, which would be 9.55" (let's say 9 1/2") you can draw any portion of the circle.

say you have a flat piece of fabric. You cut a string 9.5" in length and tie it to a pin inserted at the corner of the lengthwise and crosswise grain. Draw the circle arc on the fabric from lengthwise selvage to crosswise tear/cut. That is 90 degrees or 1/4 of the circle.

Extend down from that arc the length you want your skirt. add seam and hem allowances (you will lose side seam allowances if you are drawing directly on the fabric like this...but it'll only be a couple inches around the entire skirt)

Now use that piece of fabric to cut another and you'll have 2/4 or 1/2 a circle.

I hope that makes sense!

Anonymous said...

well, kind of. let me clarify so I understand. I draw an "arc" 9 1/2inches . That makes my 1/4 circle pattern piece. Then I lay it on the fabric with the fold @ one end. That might give me one seam..which would be ok if I want to "split" the front of the empire skirt (have an opening)...am I on the right track??

It would seem to me that if I want to avoid a seam alltogether(like having a doughnut) I would need to draft an actual half circle pattern piece with an "arc" of 19 inches? (figuring it's the 9.5 doubled).....boy that would be taking up alot of fabric!!

does this book that u recommend have pics in it of this stuff?

dawn said...

I think you may have confused the "arc" with the radius. The radius of the arc, however long the arc is, is 9.5". To have enough to go around your waist though your arc must be half a circle (the full circle would be twice as long in circumference as your waist), or span 180 degrees. The way I described had you cut 90 degrees at a time. but yes, you could cut the entire semi-circle, 180 degrees in one shot, if the fabric is wide enough to accomodate the length of the skirt you want. You could just draw the waist half-circle on the lengthwise selvage. Then the selvages would be your only seam, in the back I guess.

You can't cut a half circle without a seam somewhere, b/c the fabric is flat. A whole circle could be cut flat, but a half circle, when closed, is shaped more like a cone than flat. So you can't cut it in it's entirety flat.

The book devotes several pages to circles...first a circular skirt, then a ruffled circular skirt, then circular ruffles. She doesn't talk directly about a half circle skirt but reading through all the information and studying the drawings might help anyway.

Anonymous said...

I think the drawings would prbly help me alot too...I tend to be a visual person..thanks

Anonymous said...

any way u could put a drawing on this...?