Problem Analysis:
The image shows a circle graph representing the favorite outdoor activities of Ayan's friends. The activities are
Swimming,
Running,
Cycling, and
Skiing. The circle is divided into four sections, each corresponding to one activity. The task is to answer five questions based on this circle graph.
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Solution:
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1. Which activity was most favorite?
To determine the most favorite activity, we need to identify which section of the circle graph occupies the largest area. From the graph:
-
Cycling appears to occupy the largest section of the circle.
Answer: Cycling
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2. What fraction of the total choices was Cycling?
To find the fraction of the total choices that corresponds to Cycling, we observe the proportion of the circle occupied by the Cycling section. The circle is divided into four roughly equal parts, and Cycling occupies one of these parts.
Since the circle represents the whole (1), and Cycling occupies one-fourth of it:
\[ \text{Fraction for Cycling} = \frac{1}{4} \]
Answer: $\frac{1}{4}$
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3. What fraction of the total choices was Skiing?
Similarly, to find the fraction for Skiing, we observe its proportion in the circle. Skiing also occupies one of the four roughly equal parts of the circle.
Thus:
\[ \text{Fraction for Skiing} = \frac{1}{4} \]
Answer: $\frac{1}{4}$
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4. What activity was least favorite?
To determine the least favorite activity, we need to identify which section of the circle graph occupies the smallest area. From the graph:
-
Running appears to occupy the smallest section of the circle.
Answer: Running
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5. Which activity was more favorite: Running or Swimming?
To compare Running and Swimming, we observe their respective sections in the circle graph:
-
Running occupies a smaller section than
Swimming.
Thus, Swimming is more favored than Running.
Answer: Swimming
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Final Answers:
1.
Cycling
2.
$\frac{1}{4}$
3.
$\frac{1}{4}$
4.
Running
5.
Swimming
\boxed{1. \text{Cycling}, 2. \frac{1}{4}, 3. \frac{1}{4}, 4. \text{Running}, 5. \text{Swimming}}
Parent Tip: Review the logic above to help your child master the concept of circle graph worksheet 6th grade.
