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Calculate the angle of the sector representing cassava in a pie chart, given the acres for various crops.

Mathematics

ScanSolve AI Answer

Answer

B) 36∘\text{B) } 36^\circ

Step-by-step solution

3 steps

B) 36∘36^\circ

  1. List the acres for each crop and calculate the total acres.

    • Rice: 2 acres
    • Pineapple: 5 acres
    • Cassava: 3 acres
    • Cocoa: 11 acres
    • Palm oil: 9 acres

    Total acres =2+5+3+11+9=30= 2 + 5 + 3 + 11 + 9 = 30 acres.

  2. Determine the proportion of acres for cassava.

    The acres for cassava are 3.
    The proportion of cassava acres to the total acres is:

    Proportion=Acres for cassavaTotal acres=330=110\text{Proportion} = \frac{\text{Acres for cassava}}{\text{Total acres}} = \frac{3}{30} = \frac{1}{10}
  3. Calculate the angle of the sector for cassava in a pie chart.

    A full circle in a pie chart represents 360∘360^\circ. To find the angle of the sector for cassava, multiply its proportion by 360∘360^\circ.

    Angle=Proportion×360∘\text{Angle} = \text{Proportion} \times 360^\circ Angle=110×360∘\text{Angle} = \frac{1}{10} \times 360^\circ Angle=36∘\text{Angle} = 36^\circ

    The angle of the sector for cassava is 36∘36^\circ.

    The final answer is B) 36∘\text{B) } 36^\circ.

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