# Question Video: Finding the Measures of Angles in a Circle Divided into Equal Parts Mathematics

The circle is divided into 3 equal parts. What is the angle of each part?

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### Video Transcript

The circle is divided into three equal parts. What is the angle of each part?

Well, the first thing we can recall is that the total angles in a circle add up to 360 degrees. So that’s if we do one full turn, it’s 360 degrees. And the key to this question is the fact that our circle is divided into three equal parts. So we know that each section is gonna have the same angle. So therefore, if we want to work out the angle for each one of our sections, what we’re going to do is divide 360 degrees — so that’s the total angle — by three because there’re three equal parts.

And we could do this using the bus stop method. We could do “how many threes go into 360?” Well, there’s one three in three, two threes in six, and then no threes in zero. So therefore, each of our internal angles is gonna be worth 120 degrees. And that’s because, as we said, the total interior angle equals 360. But we’ve got three equal parts, so, therefore, each part’s gonna be 120 degrees.