Inscribed Polygon

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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

       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?
     example ofInscribed Polygon

    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: △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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