Marks obtained by Sunita in her pre-board examination are as follows :

Subject	Marks
English	72
Hindi	84
Mathematics	96
Science	80
Social Science	68

If a pie chart is constructed for the above data, then what will be the angle of the sector representing marks obtained by Sunita in Mathematics ?

The correct answer is 86.4°.

Step-by-step Explanation:

To find the angle of the sector representing the marks obtained by Sunita in Mathematics in a pie chart, we first need to calculate the total marks obtained across all subjects.

From the given data table:

• English = 72
• Hindi = 84
• Mathematics = 96
• Science = 80
• Social Science = 68

Step 1: Calculate the total marks

$\text{Total Marks}=72+84+96+80+68=400$

Step 2: Calculate the central angle for Mathematics

The total angle in a pie chart is 360°.

The formula to find the sector angle for a specific subject is:

$\text{Sector Angle}=\left(\frac{\text{Marks in Subject}}{\text{Total Marks}}\right)\times 360°$

Substitute the values for Mathematics:

$\text{Sector Angle for Mathematics}=\left(\frac{96}{400}\right)\times 360°$

Simplifying the fraction:

$\frac{96}{400}=0.24$

Now, calculate the angle:

$\text{Sector Angle}=0.24\times 360°=86.4°$

Thus, the central angle of the sector representing marks obtained in Mathematics is 86.4°.