How was your day at school?

Nearly perfect if it werent for a circle that kept me thinking all the way home.

Isnt that the circle of the red zero written in your notebook?

Maybe, if I continue to be unable to find an answer to the question **How many sides does a circle have**!

If your child said that, what would you think? The question is too simple, its as easy as pie to answer it, right? So whats your answer? Do you believe that you will be confused and want to change the original answer when I give the 4 options below and the explanations attached? Scroll down and let these numbers prove what I just said.

**0**

Lets start with a popular answer: A circle is not a sided plane shape. Why?

No matter how infinitely small the angle of 2 radiuses forming a chord at 2 points on the arc is, it is still bounded by a curve. As a result, its more appropriate to call a circle a border of a uniform curve.

Table of Contents

**1**

0 seems to be the answer that got a tick, but if you keep repeating terms like chord, arc, or curve… to a 5-year-old just learning to count, then they will cry!

In primary school, it appears that 1 is the correct answer. A reasonable cause for it is based on one meaning of the word side definition. Some argue that the side is part of a line, and if we are not insisting on the lines straightness, its evident that a circle has one side.

Here is another support for the answer 1 (its more complicated than what a 6-year-old kid can understand, so please dont make him scream while reading!). If you mean by circle its circumference along with its interior, then that circumference is its border. We can say border as a side, and in that case, a circle has 1 side.

**2**

Now consider another definition of the word side. Side is an area just beyond the edge of something. A circle is a line that extends indefinitely. Every line has only 2 sides. As a result, the circle has 2 sides.

**Infinitely Many**

**How many sides does a circle have?** Infinitely many! Seems to be a safe bet made by many people, but *is a circle a polygon*? Does a circle have an unlimited number of sides?

Obviously, many people consider a circle a polygon with the number of sides getting larger and larger and reaching infinity. This is precisely the method that Archimedes, Liu Hui, and numerous other mathematicians used to calculate π.

Its pretty reasonable to conclude a circle is a polygon having an unlimited number of sides at times. In this case, every point in a circle is the *vertex of a circle*.

However, each side has a length of…zero? In my opinion, sides of zero length are a difficult notion to grasp. Assume Im analyzing a square, making it appear as a hexagon like this illustration:

So *how many sides does a square have*? 4, 8, or infinite?

So it will make sense for us to think of my square as having 8 sides, 4 of which have length 0! Sound weird, right?

**The Right Answer For ‘How Many Sides Does A Circle Have’**

Okay, so in short, if you encounter a multiple choice question **How many sides does a circle have**, which answer would you tick? Or will you wipe the beads of sweat from your forehead and tick 1 option randomly because each all makes sense?

Answering the question **How many sides does a circle have** seems as simple as an easy counting activity, but it is just as confusing as counting sheep when you are slowly falling asleep.

The complexity of this question boils down to the fact that the word side has so many meanings! Is it an edge, part of a line, or an area bounded by the line?

In this situation, a good teacher wouldnt puzzle students with such a multi-meaning word. They need to explain the meaning of the question clearly. So if your kid asks you this question, send this post to your kids teacher.

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