MATHEMATICS
JAMB 2019 - Question 35
Mathematics 2019 JAMB Past Questions - Question 35: Of the nine hundred students admitted in a university in 1979, the following was distributed by state:Anambra 185 Imo 135Kaduna 90Kwara 110Ondo 155Oyo 225In a pie chart drawn to represent this distribution, the angle subtended at the center by Anambra is
A:
B:
C:
D:
Correct Answer
C
Explanation
To find the angle subtended at the center by Anambra in the pie chart representing the distribution of students admitted in 1979, we can use the formula:\[ \text{Angle} = \frac{\text{Frequency of Anambra}}{\text{Total Frequency}} \times 360^\circ \]The frequency of Anambra is 185, and the total frequency is the sum of the frequencies for all the states, which is:\[ 185 + 135 + 90 + 110 + 155 + 225 = 900 \]Substituting these values into the formula gives:\[ \text{Angle} = \frac{185}{900} \times 360^\circ \]\[ \text{Angle} = 0.2056 \times 360^\circ \]\[ \text{Angle} \approx 74.02^\circ \]So, the angle subtended at the center by Anambra in the pie chart is approximately \( 74.02^\circ \).
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