Week 20: Angles within a circle
![a wooden inlay of a nonagon with a star in the center with kites and triangles alternating colors of wood](/content/images/size/w960/wp-content/uploads/2019/10/img_5336-1.jpg)
![a wooden inlay of a nonagon with a star in the center with kites and triangles alternating colors of wood](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5336-1.jpg)
This week learners can play with angles with both grand projects and smaller art projects. There are 360 degrees in a circle or 2pi radians. Learners can draw a circle and then mark every 20 degrees (or every 30 or any factor of 360).
![a circle with tick marks](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5330.jpg)
Factors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 60, 72, 90, 120, 180, 360
Once the circle and tick marks are made, learners can start connecting points by skipping a set amount (skip every 5 marks). The key here is to be consistent – make sure they skip the same number of marks with each line. The lengths of the lines should be the same, so they can use that to check each line. I like to use circular protractors, but it’s not necessary.
![](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5322-2.jpg)
After creating a star, or mix of polygons, learners can color them in, create a template for sewing applique, laser cut, combine them into a mobile, and more.
![a circle with tick marks and a ruler connecting two of them](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5331.jpg)
![a circle with ruler and 2 lines drawn](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5332.jpg)
![a circle with ruler and 5 lines drawn](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5333.jpg)
![a circle with ruler and 8 lines drawn](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5334.jpg)
![a circle with tick marks connected with lines to make a star shape](https://www.fractalkitty.com/content/images/wp-content/uploads/2019/10/img_5335-1.jpg)