Question

Which figure is an example of inscribed circle and circumscribed polygon?

A. Figure2
B. Figure3
C. Figure4
D. Figure1

Answer 1

Hint:
We know that, If a polygon is drawn outside a circle so that every side of the polygon touches the circle, the polygon is called the circumscribed polygon and the circle is called the inscribed circle. Hence, now we will compare all the given choices, and the one which satisfies the above condition would be the required answer.

Complete step by step solution:
According to the question,

An inscribed circle and circumscribed polygon are when the polygon is drawn outside a circle so that every side of the polygon touches the circle.

For figure1 and figure2, the circle is outside the polygon and hence, they are eliminated.

For figure 3, though the circle touches all the sides of the polygon, there is another triangle inside the circle which spoils the figure3, Hence figure 3 is eliminated.

For figure 4, the polygon is drawn outside a circle so that every side of the polygon touches the circle,

Hence, figure 4 is the correct answer.
Since, figure 4 is associated with option C,

Hence, the final answer is C.

Note:
In these types of questions, MCQs are a bit confusing. Sometimes even when we know the answer, we can mark the wrong choice. In the question above, though the answer is straightforward, the MCQs are shuffled. That is option A is not associated with figure1, option B is not associated with figure2, etc. In a hurry even if we know that the correct answer is figure4, we tend to fill option C as the wrong final answer.