Perimeter of semi-circles

It’s funny that sometimes the most straightforward ideas can sometimes be quite surprising (for me anyway) The latest such idea is that the circumference of a circle with diameter 8cm is equal to the length of an arc of a semicircle with diameter of 16cm. I know this to be true but it just surprises me every time I see it.

I’ve added in the slide with AREA of semicircles too but just so students can see that area is affected differently to perimeter when scaling the diameter.

Curves

 

Screenshot 2020-07-25 at 23.36.03Screenshot 2020-07-25 at 23.36.10

Screenshot 2020-07-25 at 22.33.38Screenshot 2020-07-25 at 23.14.44

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