The pie chart represents the income distribution of four earning members of a family as a percentage of the total family income in the year 2016.

What is the **central angle** corresponding to the combined income of members A and D in the pie chart?![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759327491/aptidude_questions/h0szti6uquz6ukvp2l90.png)

Question

The pie chart represents the income distribution of four earning members of a family as a percentage of the total family income in the year 2016.

What is the **central angle** corresponding to the combined income of members A and D in the pie chart?![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759327491/aptidude_questions/h0szti6uquz6ukvp2l90.png)

Accepted Answer

**Solution:**

1. The total angle in a pie chart is always $360^\circ$.

2. The combined income percentage of members A and D is:
   $$25\% + 10\% = 35\%$$

3. To find the central angle corresponding to this combined income, use the formula:
   $$	ext{Central Angle} = \frac{	ext{Percentage}}{100} 	imes 360^\circ$$

4. Substitute the values:
   $$\frac{35}{100} 	imes 360 = 0.35 	imes 360 = 126^\circ$$

**Answer:** $126^\circ$

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