Circle Graphs Worksheets - 15 Worksheets Library - Free Printable

Let’s solve this step by step.

We are given data about students’ favorite sports:

- Baseball: 50 students
- Football: 30 students
- Golf: 15 students
- Basketball: 5 students

First, we need to find the total number of students.

Add them up:
50 + 30 = 80
80 + 15 = 95
95 + 5 = 100

So, there are 100 students total.

Now, a circle graph (also called a pie chart) shows parts of a whole. The whole circle is 360 degrees, and it represents all 100 students.

To draw each slice of the circle, we calculate how many degrees each sport should take.

We do this by finding what fraction of the total each sport is, then multiply that fraction by 360°.

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Baseball:
50 out of 100 → 50/100 = 0.5
0.5 × 360° = 180°

Football:
30 out of 100 → 30/100 = 0.3
0.3 × 360° = 108°

Golf:
15 out of 100 → 15/100 = 0.15
0.15 × 360° = 54°

Basketball:
5 out of 100 → 5/100 = 0.05
0.05 × 360° = 18°

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Let’s double-check our angles add up to 360°:

180 + 108 = 288
288 + 54 = 342
342 + 18 = 360° ✔ Perfect!

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Now, to construct the circle graph:

1. Start with the circle already drawn (with a center point and one radius line going right — that’s your starting line).
2. Use a protractor to measure and draw each angle from the center, going counterclockwise (or clockwise — just be consistent).

Order doesn’t matter unless specified, but usually we go in order of largest to smallest or as listed.

Let’s follow the table order:

→ Start at the right-hand radius (0°).
→ Draw Baseball: 180° — that’s half the circle! So draw a straight line across to the left side. That’s your first slice.
→ From there, measure Football: 108° — so from the left side, swing 108° upward (counterclockwise). Mark that line.
→ Then Golf: 54° — from the end of football, swing another 54°.
→ Finally, Basketball: 18° — which should bring you back to the start.

You can label each slice with the sport name and maybe the percentage or number of students.

Since 100 students total, percentages are easy:

- Baseball: 50%
- Football: 30%
- Golf: 15%
- Basketball: 5%

You can write those inside or next to each slice.

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Final Answer:
To construct the circle graph:

- Total students = 100
- Each sport’s angle:
• Baseball: 180°
• Football: 108°
• Golf: 54°
• Basketball: 18°

Draw the slices using these angles starting from the right-hand radius, labeling each section with the sport and optionally the percent or student count.