Data Interpretation • Topic 3 of 5

Pie Charts

A pie chart splits a whole (the total) into sectors. A sector's value = (its angle / 360) x total, or simply percent x total when given in percents. To convert a percent to an angle, multiply by 3.6 (since 100% = 360 degrees). Always note the stated grand total before computing any slice.

✅ Solved examples

1. A budget of 7200 is split: Food 25%. Food amount?
25% of 7200 = 1800.
2. A sector is 90 degrees of a total of 4000. Its value?
(90/360) x 4000 = 1000.
3. Convert 30% to a sector angle.
30 x 3.6 = 108 degrees.
4. If Rent is 120 degrees of a 9000 budget, the rent?
(120/360) x 9000 = 3000.

✏️ Practice — try these, take hints as needed

1. 20% of total 5000?
0.2 x 5000.
—
—
1000
2. Sector 60 degrees of 7200?
(60/360) x 7200.
—
—
1200
3. Convert 45% to angle?
x 3.6.
—
—
162 degrees
4. Sector 144 degrees as a percent?
/3.6.
—
—
40%
5. 15% of 8000?
0.15 x 8000.
—
—
1200

📝 Topic test — 8 questions

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