Video: Finding the Central Angle of a Section in a Pie Chart

The results of a survey on the favourite hobbies of students are shown in the pie chart. What is the measure of the angle of the sector representing swimming?

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Video Transcript

The results of a survey on the favourite hobbies of students are shown in the pie chart. What is the measure of the angle of the sector representing swimming?

Well, looking at the pie chart, it says that 17 percent of students said that their favourite hobby was swimming. And there are 360 degrees going all the way round at the centre of this circle. So 17 percent of that 360 tells us the size or the measure of this angle for that piece of the pie chart. So the calculation we’re doing then to find the measure of the angle for swimming is what is 17 percent of 360.

Now, to calculate 17 percent of something, we do 17 over 100 times that thing. Now, when you put that into your calculator, you get an answer of exactly 61.2 degrees. So what we need to do is write down our answer and make it nice and clear on the page.

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