3% of a family's income is spent on electricity, 59% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively

  • A 76.8° and 25.2°
  • B 10.8° and 224.6°
  • C 112.4° and 72.0°
  • D 39.6° and 212.4°

The correct answer is D. 39.6° and 212.4°

To find the angles subtended at the center of the pie chart for education and food, we need to calculate the angles corresponding to the given percentages.

Given percentages:

- Education: 11%

- Food: 59%

The total angle in a pie chart is \(360^\circ\), which represents the whole or 100%. To find the angle corresponding to a given percentage, we can use the proportion:

\[\text{Angle} = \frac{\text{Percentage}}{100} \times 360^\circ\]

1. Education angle:

\[\text{Angle (education)} = \frac{11}{100} \times 360^\circ = 39.6^\circ\]

2. Food angle:

\[\text{Angle (food)} = \frac{59}{100} \times 360^\circ = 212.4^\circ\]

So, the angles subtended at the center of the pie chart under education and food are respectively \(39.6^\circ\) and \(212.4^\circ\).

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