How to Interpret a Circle Graph In this lesson, let’s learn how to interpret a circle graph. A circle graph is like the one shown below. We can see the entire graph represents the whole. Whole is represented by the entire circle. Each part of the circle represents a fraction, so this part represents a fraction, or part of the graph. So what are we told? We are told that the circle graph shows the results of a class of 32 students. So whole=32, that’s the number of students that were surveyed. Each section shows how many—what fraction of the class who likes the subject. How many students chose English? So Science was liked by ¼, English was liked by 1/8. So 1/8 of 32 students. 1 part out of 8 of 32 students which is the whole, likes English. So what do we need to do to find the value of 1/8 over 1/8 of 32? We take 1/8 which is the fraction multiplied by the whole number. Now creating some space, in order to multiply a fraction times a whole number, what we do is step 1, we take the whole number and we divide it by the denominator. In this example what do we get? 32 divided by the denominator 8, gives us 4. Second, we take this quotient, which what we just calculated, this one. Multiply it by the numerator. So in this case, what do we get? Quotient was 4, multiplied by the numerator as 1, so the answer is 4, so out of a class of 32 people, 4 like English. Key thing to remember, each part or each of these colored areas shows a fraction. This is part of the whole so ¼, one part out of 4 students like Science. 1/8 of the students like English, so the entire circle represents 32. 1/8 of 32 is 4.