Marks obtained by Sunita in her pre-board examination are as follows: Subject…
2023
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?
- A.
75.6°
- B.
72°
- C.
86.4°
- D.
64.8°
Show answer & explanation
Correct answer: C
In a pie chart, the angle of the sector for any category equals the category's value divided by the total of all values, multiplied by 360°, since the full circle corresponds to 360°: Angle = (Value / Total) × 360°.
Find the total marks by adding the marks in all five subjects: 72 + 84 + 96 + 80 + 68 = 400.
Take the ratio of Mathematics marks to the total marks: 96 / 400.
Multiply this ratio by 360° to get the sector angle for Mathematics: (96 / 400) × 360° = 86.4°.
Cross-check: the sector angles of all five subjects must add up to exactly 360°, since together they make one full circle.
Subject | Marks | Sector angle |
|---|---|---|
English | 72 | (72 / 400) × 360° = 64.8° |
Hindi | 84 | (84 / 400) × 360° = 75.6° |
Mathematics | 96 | (96 / 400) × 360° = 86.4° |
Science | 80 | (80 / 400) × 360° = 72° |
Social Science | 68 | (68 / 400) × 360° = 61.2° |
Adding all five angles: 64.8° + 75.6° + 86.4° + 72° + 61.2° = 360°, confirming the total marks were used correctly. Hence, the angle for Mathematics is 86.4°.