** Definition of Inscribed Polygon**

- Inscribed Polygon is defined as a polygon placed inside a circle so that all the vertices of the polygon lie on the circumference of the circle.

**More about Inscribed Polygon**

- All the sides are chords in an inscribed polygon.

**Example of Inscribed Polygon**

- In the given figure, the vertices A, B, and C of the triangle lie on the circumference of the circle. So, triangle ABC is an inscribed polygon.

**Solved Example on Inscribed Polygon**

How many inscribed polygons are there in the figure?

Choices:

A. 6

B. 3

C. 4

D. 5

Correct Answer: D

Solution:

Step 1:A polygon is said to be inscribed in a circle if each of its sides is a chord.

Step 2:ΔABD, ΔBCD, ΔADC, ΔABC and quadrilateral ABCD are the only inscribed polygons.

Step 3:ΔAOD, ΔDOC, ΔOCB and ΔAOB are not inscribed polygons, because all of their sides are not chords of the circle.

Step 4:So, 5 polygons are inscribed in the figure.

**Related Terms for Inscribed Polygon**

- Chord
- Circle
- Vertex