I am starting a new series on the blog for inquiries in math. I posted the first one today:
https://www.fractalkitty.com/inquiries-week-1-circle-shading/
Fractal Kitty · Inquiries-Week 1: Circle ShadingThis is the first of a series of guided inquiries in math. If a document is preferred over a blog post, the pdf file is below:
Inquiries-Week 1_ Circle ShadingInquiries-Week 1_ Circle Shading.pdf622 KBdownload-circle
Introduction
When circles overlap they make lunes:
or lenses:
or other fun shapes:
Activity
Let's
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Quantum Measurement: 
Number Pairs: 
![The length of the radius of circle O is 4•sqrt2
Four intersecting congruent semicircles form the 4 shaded regions. Find the area inside O and outside all the shaded regions. [The image shows 4 shaded "petals" centered at O and having their tips on the circle]](https://media.mathstodon.xyz/media_attachments/files/114/474/266/411/977/655/original/919e8ce5c48d0d6e.jpeg "The length of the radius of circle O is 4•sqrt2
Four intersecting congruent semicircles form the 4 shaded regions. Find the area inside O and outside all the shaded regions. [The image shows 4 shaded \"petals\" centered at O and having their tips on the circle]")
]
