Point 14 — Circumscribed and inscribed figures

What do we see?

A polygon inscribed in or circumscribed about a circle.

What do we understand?

We see?	We understand?
Equilateral triangle inscribed/circumscribed	Use the 30-60-90 rule
Square inscribed/circumscribed	Use the 45-45-90 rule
Regular hexagon	Use the 30-60-90 rule
Circle inscribed in a square	Side length = diameter
Square inscribed in a circle	Diagonal length = diameter

Tips & traps

Stub errors may come from applying incorrect special triangle ratios.

Question 1 of 2

A square is inscribed in a circle. The radius of the circle is $\frac{20 \sqrt{2}}{2}$ inches. What is the side length, in inches, of the square?