{"url":"https://api.github.com/gists/3422480","forks_url":"https://api.github.com/gists/3422480/forks","commits_url":"https://api.github.com/gists/3422480/commits","id":"3422480","node_id":"MDQ6R2lzdDM0MjI0ODA=","git_pull_url":"https://gist.github.com/3422480.git","git_push_url":"https://gist.github.com/3422480.git","html_url":"https://gist.github.com/mbostock/3422480","files":{".block":{"filename":".block","type":"text/plain","language":null,"raw_url":"https://gist.githubusercontent.com/mbostock/3422480/raw/9265d9ef4b4d135c4e49c82609e46cd9b30382cf/.block","size":79,"truncated":false,"content":"license: gpl-3.0\nredirect: https://observablehq.com/@mbostock/circular-segment\n","encoding":"utf-8"},"README.md":{"filename":"README.md","type":"text/markdown","language":"Markdown","raw_url":"https://gist.githubusercontent.com/mbostock/3422480/raw/5ad430015c9a3591f0ec7e86838ceb10b749fd62/README.md","size":518,"truncated":false,"content":"This example demonstrates how to compute the height *h* of a [circular segment](http://mathworld.wolfram.com/CircularSegment.html) given the fraction *k* of the circle’s area that should be covered by the segment. For example, for values of *k* 0, 0.5 and 1, the value of *h* is *k*. For other values, *h* is [computed numerically](http://mathforum.org/dr.math/faq/faq.circle.segment.html) via [Newton’s method](http://en.wikipedia.org/wiki/Newton's_method); I am unaware of an analytical solution to this problem.","encoding":"utf-8"},"index.html":{"filename":"index.html","type":"text/html","language":"HTML","raw_url":"https://gist.githubusercontent.com/mbostock/3422480/raw/9ee930c19f5887c4584beb1905257b8633cb8e89/index.html","size":2653,"truncated":false,"content":"\n\n\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n h = 0.125\n \n \n \n \n \n\n\n
\n \n k = 0.250\n
\n\n\n\n","encoding":"utf-8"},"thumbnail.png":{"filename":"thumbnail.png","type":"image/png","language":null,"raw_url":"https://gist.githubusercontent.com/mbostock/3422480/raw/03f0e4cecf216181e71f072b693142729b8f7a4d/thumbnail.png","size":4670,"truncated":false,"content":"iVBORw0KGgoAAAANSUhEUgAAAOYAAAB4CAYAAADmBo6IAAAAGXRFWHRTb2Z0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\nkYrmpnrcamxFe3M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