Statistics · JSS 3

Pie chart angle

Work out the size of each slice when drawing a pie chart.

  • Angle = frequencytotal frequency × 360°

What the letters mean

frequency
the amount for this slice
total frequency
the amount for the whole pie

Worked example

15 out of 60 students walk to school. What angle is their slice?

  1. Step 1: Fraction of the whole

    1560 = 14

  2. Step 2: Of 360°

    14 × 360° = 90°

Final answer: 90°

All the angles must add up to 360°: use that to check.

See it

Play with this picture from the Pie Charts lesson.

Favourite fruit of JSS 3 students

120°90°60°90°
ItemFreq.Anglef ÷ 36 × 360°
12120°
990°
660°
990°
Total36360°
Mango: frequency12

Mango: 1236 × 360° = 120°That is ≈ 33.3% of the circle.