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Zorluk: OrtaStatistical Maps and Graphical Representation

A pie chart is constructed to illustrate the revenue distribution of agricultural crop exports from a region. If the total export revenue is $800 million\$800\text{ million} and Cocoa accounts for $360 million\$360\text{ million}, what is the angular size of the sector representing Cocoa on the pie chart?

  1. A
    45∘45^\circ
  2. B
    97.2∘97.2^\circ
  3. 162∘162^\circCevap
  4. D
    180∘180^\circ

Cevap

The sector representing Cocoa has an angular size of 162∘162^\circ.
The total revenue of $800 million\$800\text{ million} corresponds to a full circle of 360∘360^\circ. Cocoa's revenue of $360 million\$360\text{ million} forms 360800=0.45\frac{360}{800} = 0.45 of the total. Multiplying this ratio by 360∘360^\circ gives 162∘162^\circ.

Adım Adım Çözüm

1
Calculate the proportion of total export revenue generated by Cocoa.
Proportion = $360 million$800 million=0.45\frac{\$360\text{ million}}{\$800\text{ million}} = 0.45
Determining the fractional share of the target category from the total dataset.
2
Convert the proportion into degrees for a pie chart sector.
Angle = 0.45×360∘=162∘0.45 \times 360^\circ = 162^\circ
A complete circle subtends 360∘360^\circ, so multiplying the fractional component by 360∘360^\circ yields the exact sector angle.

Anahtar Kavram

Pie Chart Sector Angle Calculation
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Konular

Statistical Maps and Graphical Representation

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