Question

A circle is made up of triangle(s).

• A. 1
• B. 3
• C. infinite

Answer 1

The correct option is C infinite

Let us take $\Delta$ ABC, $\Delta$PQR and $\Delta$LMN.

If we add $\Delta$ABC to $\Delta$PQR, we get a quadrilateral:

If we add $\Delta$LMN to this quadrilateral, we get a pentagon.

So, we observe here that,
$\begin{array}{ccc}\text{Figure}& \text{No. of sides}& \text{No. of triangles it can be made from}\\ \text{Triangle}& 3& 1\\ \text{Quadrilateral}& 4& 2\\ \text{Pentagon}& 5& 3\\ \text{Hexagon}& 6& 4\\ .& .& .\\ .& .& .\\ \text{Decagon}& 10& 8\\ .& .& .\\ .& .& .\\ .& .& .\\ \text{Circle}& \text{Infinite}& \text{Infinite}\end{array}$
Therefore, a circle is made up of infinite triangles.