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Examine a standard pie chart regarding the production of steel by five states where the percentage distribution is as follows: State A = , State B = , State C = , State D = , State E = . What is the central angle that corresponds to the production of steel by State D?

image

  1. A
    68.4^\circ
  2. B
    78.2^\circ
  3. C
    72.4^\circ
  4. D
    58.2^\circ

Solution & Step-by-step Explanation

The total percentage represented by a pie chart is always , which corresponds to a total central angle of .
Given that the share of production of State D is , the corresponding central angle can be calculated as:





Therefore, the central angle corresponding to State D is .

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Try it yourself before checking the explanation above.

Examine a standard pie chart regarding the production of steel by five states where the percentage distribution is as follows: State A = , State B = , State C = , State D = , State E = . What is the central angle that corresponds to the production of steel by State D?

image
A
68.4^\circ
B
78.2^\circ
C
72.4^\circ
D
58.2^\circ

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