Inscribed Polygon

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

       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.