60 students were asked to choose their favourite sport. Their distribution is an follows :
Football = 15
Cricket = 12
Swimming - 12
Basketball - 11
Athletics = 10
The data is illustrated in a Pie Chart. What angle should be used for football?

Options

A. `15^@`
B. `60^@`
C. `90^@`
D. `180^@`

Answer

To find the angle that should be used for football in a pie chart, we can follow these steps:

### Step 1: Understand the total number of students
We know that there are a total of 60 students surveyed.

### Step 2: Identify the number of students who chose football
From the data provided, 15 students chose football.

### Step 3: Calculate the angle that represents the entire pie chart
The total angle in a pie chart is 360 degrees. This represents all 60 students.

### Step 4: Calculate the angle per student
To find out how much angle one student represents, we can divide the total angle by the total number of students:
\[ \text{Angle per student} = \frac{360 \text{ degrees}}{60 \text{ students}} = 6 \text{ degrees} \]

### Step 5: Calculate the angle for football
Now, to find the angle that represents the students who chose football, we multiply the number of football students by the angle per student:
\[ \text{Angle for football} = 15 \text{ students} \times 6 \text{ degrees/student} = 90 \text{ degrees} \]

### Final Answer
Thus, the angle that should be used for football in the pie chart is **90 degrees**.

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