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Which one of the following is not correct?
The proportion of various items in a pie diagram is proportional to the 
  • a)
    Area of slices
  • b)
    Angles of slices
  • c)
    Lengths of the curved surface arcs of slices
  • d)
    Perimeters of the slices
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which one of the following is not correct?The proportion of various it...
Data in a pie chart ∝ Area
Area = θ/360 × πr2
∴ Area ∝ θ
∴ Data ∝ θ, where θ is the angle of slice
Length of the curved surface = θ/360 × 2πr
∴ Length of curved surface of arc ∝ θ
∴ Data ∝ Length of the curved surface
Perimeter of slices = θ/360 × 2πr + 2r
∴ Perimeter of slices is not proportional to the data
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Most Upvoted Answer
Which one of the following is not correct?The proportion of various it...
Data in a pie chart ∝ Area
Area = θ/360 × πr2
∴ Area ∝ θ
∴ Data ∝ θ, where θ is the angle of slice
Length of the curved surface = θ/360 × 2πr
∴ Length of curved surface of arc ∝ θ
∴ Data ∝ Length of the curved surface
Perimeter of slices = θ/360 × 2πr + 2r
∴ Perimeter of slices is not proportional to the data
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Community Answer
Which one of the following is not correct?The proportion of various it...

Explanation:

Area of Slices:
- The proportion of various items in a pie diagram is proportional to the area of slices. This means that the size of each slice in the pie chart is determined by the area it occupies in the entire circle.

Angles of Slices:
- Another correct statement is that the proportion of various items in a pie diagram is proportional to the angles of slices. The size of each slice is represented by the angle it subtends at the center of the circle.

Lengths of the Curved Surface Arcs of Slices:
- The proportion of various items in a pie diagram is also proportional to the lengths of the curved surface arcs of slices. The length of the curved line that defines each slice is directly related to the proportion of that item in the data set.

Perimeters of the Slices:
- The statement that the proportion of various items in a pie diagram is proportional to the perimeters of the slices is not correct. The size of each slice in a pie chart is not determined by the perimeter of the slice, but rather by the area or angle it occupies in the circle.

In conclusion, the correct factors that determine the proportion of items in a pie diagram are the area of slices, angles of slices, and lengths of the curved surface arcs of slices, not the perimeters of the slices.
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Which one of the following is not correct?The proportion of various items in a pie diagram is proportional to thea)Area of slicesb)Angles of slicesc)Lengths of the curved surface arcs of slicesd)Perimeters of the slicesCorrect answer is option 'D'. Can you explain this answer?
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