Regular Polygon in a Circle
Start with 3 on the slider. What shape does it make?
The big triangle is split into how many smaller congruent triangles?
Those smaller triangles are isosceles. Please explain why.
What part of the triangle is the apothem?
Click next. It should be a square now. How many smaller isosceles triangle do you see now? How do you know that they are isosceles?
Now, keep clicking "next". Notice the relationship between the apothem and the radius of the circle. Describe, in your own words, the relationship between the apothem and the radius of the circle as the sides of the regular polygon increase.