2018 · Q51
A Pie Chart is drawn for the following data:
Sector — Percentage: Agriculture and Rural Development — 12.9; Irrigation — 12.5; Energy — 27.2; Industry and Minerals — 15.4; Transport and Communication — 15.9; Social Services — 16.1.
What is the angle (approximately) subtended by the Social Services Sector at the centre of the circle?
Elementary MathematicsStatistics
- A45°
- B46°
- C58°
- D98°
Explanation
A full circle is 360°, so a sector of p% subtends (p/100) × 360°. For Social Services at 16.1%: 0.161 × 360° = 57.96°, which rounds to approximately 58°. As a sanity check, the six given percentages sum to exactly 100 (12.9 + 12.5 + 27.2 + 15.4 + 15.9 + 16.1), confirming a complete pie. The 45°/46° options would correspond to only ~12.5%, i.e. the Irrigation sector. Hence option (C) 58°.