Question

What is an inscribed polygon?
A. polygon inside the circle
B. circle inside the polygon
C. Inside circle
D. outside polygon

Answer 1

Hint: In this question we are asked what is inscribed polygon. First of all, we need to define what is an inscribed polygon. In geometry the word inscribed means to write or draw. It is to draw something inside something else. Inscribed polygon can be of any shape inside the circle; it can be square, a triangle or a rectangle.

Complete step by step solution:
An inscribed polygon is a polygon in which all its vertex lies on a circle. The polygon is inscribed in the circle and the circle is circumscribed around the polygon.

This is how inscribe circle looks, it is polygon inside the circle. There is also an inscribed quadrilateral. Inscribed polygon is polygon which is inside the circle and whose vertex touches the circumference of the circle.
There is much difference between inscribed and circumscribed circles. Inscribed polygon is a polygon which is inside the circle and its vertex touches the circumference of the circle but circumscribed polygon is where the circle is inside the polygon.
When quadrilaterals are inscribed in a circle the opposite angles are supplementary to each other.

Here the given figure is not an inscribed polygon as all its vertices do not touch the circumference of the circle.
From this we can conclude that option \[A\] is the correct answer that is a polygon inside the circle.
FINAL ANSWER: Therefore, option \[A\] is the correct answer that is a polygon inside the circle.

So, the correct answer is “Option A”.

Note: Students might get confused between Option \[A\] and \[C\] . But only option \[A\] is correct as option A clearly clarifies that the inscribed circle is a polygon inside the circle but in option \[C\] it is only saying that inside the circle it is not clearly clarifying the shape of which it is talking.
Option \[B\] and \[D\] cannot be true as it is saying outside the circle but inscribed polygon is polygon inside the circle not outside the circle.
So, only Option \[A\] is the correct answer that is a polygon inside the circle. Option \[B\], \[C\], \[D\] are incorrect answers.