Data Interpretation · Topic 4 of 5

🥧 Pie Charts

1 exam question type, fully solved

A pie chart splits a whole into slices. The whole circle is BOTH 100% and 360° — so every slice has a percent AND a matching angle, and you can switch between them freely.

One circle = 100% = 360°

Because , every of the pie is worth .

• Percent → angle: (e.g. ).

• Angle → percent: , or .

• Value of a slice: — turn the percent into a fraction first.

• Find the total from one slice: if a known amount is a known percent, . Drop to first, then scale to .

📊Chart Readerinteractive

Budget Allocation — click a sector

EducationHousingFoodTravelSavings

Sector angle = (Value / Total) × 360°

DI Questions

Q1. What is the central angle for Education (30%)?

Q2. Housing is what percentage more than Savings?

Q3. If total budget is ₹1,20,000, what is the Food allocation?

A sector that is 30% of the pie has a central angle of °.

Q1A sector is 30% of a pie. Its central angle is:

Q2A sector’s central angle is 72°. Its percentage is:

Q3If 15% of a budget = ₹3,00,000, the total budget is:

📚

Real exam questions — Pie Charts

1 question types · 4 solved examples from real SSC papers

The whole circle is both 100% and 360°, so 1% = 3.6°. Convert percent ↔ angle, and use one known slice to unlock the total.

How to solve this type

A pie chart splits a whole into slices. The whole circle is BOTH

100\%

and

360^\circ

, so

1\%

matches

3.6^\circ

.

- Percent → angle:

\text{angle}=\text{percent}\times3.6

. (e.g.

30\%\to30\times3.6=108^\circ

.)
- Angle → percent:

\text{percent}=\dfrac{\text{angle}}{3.6}

, or

\dfrac{\text{angle}}{360}\times100

.
- Value of a slice:

\text{slice}=\text{percent}\times\text{total}

(as a fraction).
- Find the total from one slice (unitary method): if a known amount equals a known percent, then total

=\dfrac{\text{amount}}{\text{percent}}\times100

. Drop to

1\%

first, then scale to

100\%

A pie chart of a family budget gives these percentages:

Item	% of budget
Food	30%
Rent	25%
Travel	15%
Savings	20%
Others	10%

What is the central angle of the “Food” sector?

A90°B108°C120°D100°

In the same budget pie chart:

Item	% of budget
Food	30%
Rent	25%
Travel	15%
Savings	20%
Others	10%

If the total monthly budget is ₹1,20,000, how much is spent on Rent?

A₹24,000B₹30,000C₹36,000D₹20,000

A pie chart shows how 2,500 laptops sold split across companies:

Company	% of laptops
A	24%
B	20%
C	18%
D	22%
E	16%

What is the difference between the number of laptops sold by Company A and Company C?

A120B150C180D100

A pie chart shows construction costs. The “Steel” sector is 15% of the total, and ₹3,00,000 was spent on Steel.

Item	% of cost
Cement	20%
Steel	15%
Bricks	12%
Labour	33%
Sand	20%

What is the total construction cost?

A₹18,00,000B₹20,00,000C₹22,00,000D₹25,00,000