Chapters

A polygon is inscribed in a circle if all its vertices are points on the circle and all sides are included within the circle. All regular polygons can be inscribed in a circle.

The center of an inscribed polygon is also the center of the circumscribed circle.

The radius of the inscribed polygon is also the radius of the circumscribed circle.

### Side of an Inscribed Equilateral Triangle By applying the Pythagorean theorem for one of the triangles, we obtain:   ## Example

Calculate the length of the side of an equilateral triangle inscribed in a circle of 10 cm radius.    ### Side of an Inscribed Square By applying the Pythagorean theorem for one of the triangles, we obtain: ## Example

Find the side of a square inscribed in a circle of 5 cm radius.  ### Apothem of an Inscribed Hexagon  By applying the Pythagorean theorem for one of the triangles, we obtain: Calculate the apothem of a hexagon inscribed in a circle of 4 cm radius.   Did you like the article?     (No Ratings Yet) Loading...

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

Did you like
this resource?

Bravo! 