The pie chart given below shows the amount spent by a housewife on six…
2021
The pie chart given below shows the amount spent by a housewife on six different articles. The total amount spent on all these six articles is Rs. 224000. Amount spent on particular article is shown as a percent of total amount spent on all these six articles. Which of the following statement(s) is/are correct? I. The value of central angle formed by sector D and E together is 136.8 degree. II. The value of central angle formed by sector C and E together is 108.8 degree. III. The value of central angle formed by sector A and B together is 210 degree.
- A.
Only I
- B.
Only II
- C.
II and III
- D.
I and III
Attempted by 25 students.
Show answer & explanation
Correct answer: A
To determine the correct statement, we calculate the central angle for each sector combination provided in the options. The formula to find the central angle of a sector in a pie chart is:
Central Angle = (Percentage / 100) × 360°
Here is the step-by-step breakdown:
Statement I: The sectors D and E combined account for 15% + 23% = 38%.
Central angle = 0.38 × 360° = 136.8°.
This statement is correct.
Statement II: The sectors C and E combined account for 5% + 23% = 28%.
Central angle = 0.28 × 360° = 100.8°.
This contradicts the statement's claim of 108.8°, so it is incorrect.
Statement III: The sectors A and B combined account for 18% + 32% = 50%.
Central angle = 0.50 × 360° = 180°.
This contradicts the statement's claim of 210°, so it is incorrect.
Since only Statement I is correct, the correct option is Option 1: Only I.