Question

A pie chart shows the distribution of students across 5 faculties in a university. If 20% are in Arts, 25% in Science, 15% in Law, 30% in Engineering, and the rest in Commerce, what is the angle (in degrees) for Commerce?

• A. 54°
• B. 45°
• C. 66°
• D. 36°

Hint:

To convert percentage to pie chart angle, use: Angle = \( \text{Percentage} \times \frac{360}{100} \)

Answer 1

The Correct Option is D

To determine the angle for the Commerce faculty in a pie chart, we must first ascertain its percentage of the total student population.

1. Fundamental Principles:

- Pie Chart Definition: A circular graph segmented into slices, where each slice visually represents a fraction of the overall total.
- Circle's Angular Measure: A complete circle encompasses 360 degrees.
- Sector Angle Calculation: The angle for any given sector is computed using the formula: \[ \text{Angle} = \frac{\text{Percentage}}{100} \times 360^\circ \]

2. Provided Data:

- Arts: 20%
- Science: 25%
- Law: 15%
- Engineering: 30%
- Commerce = Remaining Percentage = 100% - (20% + 25% + 15% + 30%) = 10%

3. Calculation of Commerce Angle:

\[ \text{Angle for Commerce} = \frac{10}{100} \times 360^\circ = 36^\circ \]

Conclusion:

The pie chart segment corresponding to the Commerce faculty measures 36 degrees.