{"id":8059,"date":"2017-03-07T21:09:42","date_gmt":"2017-03-08T02:09:42","guid":{"rendered":"http:\/\/neanderpundit.com\/?p=8059"},"modified":"2017-03-08T08:36:52","modified_gmt":"2017-03-08T13:36:52","slug":"ok-now-for-a-simple-circle","status":"publish","type":"post","link":"https:\/\/neanderpundit.com\/?p=8059","title":{"rendered":"OK, now for a simple circle"},"content":{"rendered":"

If we don’t care that the circle has to be perfectly round, and “Almost” round will do, then the math is really simple. <\/p>\n

Any grade school kid can make a circle with a piece of string, a pin, and a pencil. The circle’s radius is the length of the string. I’m sure you remember the process, here’s a picture.
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Now, instead of the string, let’s take an imaginary string that’s just the radius of the circle, anchor one end at the center of the circle, and rotate it a degree at a time.
\nThe X will be the horizontal line, and the Y will be the vertical line. Starting at the bottom, the first point of our plot will be x 5″, y 0″. <\/p>\n

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As always, click to embiggenate. <\/p>\n

Now the nine red lines represent nine individual movements of our “String” of one degree each. The copy paste from the spreadsheet, below, will show what each line means. (Clarification: The spreadsheet solves for the endpoint of the red line, so we can get those line segments that make the “Circle” made up of 360 line segments.)<\/p>\n

calc<\/a><\/p>\n

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You can see that the first line, one degree away, has only a very tiny motion from zero in y. And the amout it moves in from X is also very tiny. But the more degrees you move, the closer the Y gets to 5, and the closer the X gets to zero. At 45 degreees, shown in green on the plot, the X and Y distance are exactly the same; at 90, the x becomes zero and the Y becomes 5″.<\/p>\n

Anyone still with me? <\/p>\n","protected":false},"excerpt":{"rendered":"

If we don’t care that the circle has to be perfectly round, and “Almost” round will do, then the math is really simple. Any grade school kid can make a circle with a piece of string, a pin, and a pencil. The circle’s radius is the length of the string. I’m sure you remember the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-8059","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/neanderpundit.com\/index.php?rest_route=\/wp\/v2\/posts\/8059"}],"collection":[{"href":"https:\/\/neanderpundit.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/neanderpundit.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/neanderpundit.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/neanderpundit.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8059"}],"version-history":[{"count":9,"href":"https:\/\/neanderpundit.com\/index.php?rest_route=\/wp\/v2\/posts\/8059\/revisions"}],"predecessor-version":[{"id":8076,"href":"https:\/\/neanderpundit.com\/index.php?rest_route=\/wp\/v2\/posts\/8059\/revisions\/8076"}],"wp:attachment":[{"href":"https:\/\/neanderpundit.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/neanderpundit.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/neanderpundit.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}