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 solve the problem, we need to calculate the angle in a pie chart that corresponds to the percentage of students in the Commerce faculty.

1. Understanding the Concepts:

- Pie Chart: A circular chart divided into sectors, each representing a proportion of the whole.
- Total Angle in Circle: A full circle is 360°.
- Angle for a Sector: Calculated using the formula: \[ \text{Angle} = \frac{\text{Percentage}}{100} \times 360^\circ \]

2. Given Values:

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

3. Calculating the Angle for Commerce:

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

Final Answer:

The angle representing the Commerce faculty in the pie chart is 36 degrees.