Multiple choice

If the number of boys and the number of girls in a class are 45% and 55% respectively and it is represented in a pie chart what will be the central angles of the portions representing boys and girls respectively?

  1. $\displaystyle 160^{\circ},200^{\circ}$
  2. $\displaystyle 162^{\circ},198^{\circ}$
  3. $\displaystyle 150^{\circ},210^{\circ}$
  4. $\displaystyle 180^{\circ},180^{\circ}$
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B Correct answer
Explanation

Central angle = (Percentage / 100) * 360. Boys: 0.45 * 360 = 162 degrees. Girls: 0.55 * 360 = 198 degrees.

AI explanation

The central angle of a portion in a pie chart is found by multiplying the percentage by 3.6 degrees. For the boys, the central angle is 45 percent multiplied by 3.6 degrees, which equals 162 degrees. For the girls, the central angle is 55 percent multiplied by 3.6 degrees, which equals 198 degrees.