Definition ofInscribed Polygon
Inscribed Polygon is defined as theInscribed 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 AboutInscribed Polygon
All the sides are chords in an inscribed polygon.
Video Examples: Inscribed Polygons
Example ofInscribed 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 onInscribed Polygon
Ques: How many inscribed polygons are there in the figure?
Correct Answer: D
Step 1: A polygon is said to be inscribed in a circle if each of its sides is a chord.
Step 2: ?ABD, ?BCD, ?ADC, ?ABC and quadrilateral ABCD are the only inscribed polygons.
Step 3: ?AOD, ?DOC, ?OCB and ?AOB 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.