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Worked Examples · Example 1
Q.

The following (hypothetical) data shows the contribution of three sectors to a state's income in a year. Draw a pie diagram and show your calculation of the angle for each sector.

SectorContribution (Rs. crore)
Primary200
Secondary300
Tertiary500
Total1,000
Gujarat GsebTextbookSubjectiveImportance★★★★★
28% · 9/32 Questions
✓ Free question

Step 1 — Formula. The angle for any component of a pie diagram is:

Angle=Component valueTotal value×360°\text{Angle} = \dfrac{\text{Component value}}{\text{Total value}} \times 360°

Step 2 — Apply to each sector (Total = Rs. 1,000 crore):

  • Primary: 2001000×360°=72°\dfrac{200}{1000} \times 360° = 72°
  • Secondary: 3001000×360°=108°\dfrac{300}{1000} \times 360° = 108°
  • Tertiary: 5001000×360°=180°\dfrac{500}{1000} \times 360° = 180°

Step 3 — Independent check (dual-solve). The three angles must add up to exactly 360°, since together the three sectors make up the whole circle: 72°+108°+180°=360°72° + 108° + 180° = 360°. ✓ The calculation is confirmed.

Step 4 — Draw. Mark the three angles consecutively from a starting radius, in the same order as the table, and label each sector with its name and either its value or its percentage share (20%, 30%, 50%).

✓Final answer

Primary sector = 72°, Secondary sector = 108°, Tertiary sector = 180° — verified to sum to 360°.

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