In an examination, 40% of candidates got second class. When the data are represented by a pie chart, what is the angle corresponding to second class?
(a)`40^(@)`
(b)`90^(@)`
(c)`144^(@)`
(d)`320^(@)`

Options

A. `40^(@)`
B. `90^(@)`
C. `144^(@)`
D. `320^(@)`

Answer

To find the angle corresponding to the second class in a pie chart, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Total Angle of a Pie Chart**:
The total angle in a pie chart is 360 degrees, which represents 100% of the data.

2. **Calculate the Angle for 1%**:
To find the angle corresponding to 1%, we divide the total angle by 100:
\[ \text{Angle for 1%} = \frac{360^\circ}{100} = 3.6^\circ \]

3. **Calculate the Angle for 40%**:
Since 40% of the candidates got second class, we multiply the angle for 1% by 40:
\[ \text{Angle for 40%} = 40 \times 3.6^\circ = 144^\circ \]

4. **Conclusion**:
The angle corresponding to the second class in the pie chart is \(144^\circ\).

### Final Answer:
The angle corresponding to second class is \( \text{(c) } 144^\circ \).

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