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?

Options

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

Explanation

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

### Step 1: Convert the percentage to a fraction
The percentage of candidates who got second class is given as `40%`. To convert this percentage into a fraction, we can write it as:
\[ \frac{40}{100} = \frac{2}{5} \]

### Step 2: Understand the total angle in a pie chart
A pie chart represents a whole circle, which has a total angle of `360 degrees`.

### Step 3: Calculate the angle for the second class
To find the angle corresponding to the second class, we need to calculate the fraction of the pie chart that represents the second class and then multiply it by the total angle of the pie chart. This can be done using the formula:
\[ \text{Angle} = \left(\frac{2}{5}\right) \times 360 \]

Calculating this gives:
\[ \text{Angle} = \frac{2 \times 360}{5} = \frac{720}{5} = 144 \text{ degrees} \]

### Conclusion
Thus, the angle corresponding to the second class in the pie chart is **144 degrees**.

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