Inscribed Polygon
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.
Video Examples: Inscribed Polygons
Example ofInscribed Polygon
Solved Example onInscribed Polygon
Ques: How many inscribed polygons are there in the figure?
Choices:
A. 6B. 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: △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.
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