The given pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. The expenditure on binding is 23%. What is the central angle of the sector corresponding to the expenditure incurred on binding?

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1748411068/aptidude_questions/qvb0sasv4sgpnlmorz44.png)

Question

The given pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. The expenditure on binding is 23%. What is the central angle of the sector corresponding to the expenditure incurred on binding?

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1748411068/aptidude_questions/qvb0sasv4sgpnlmorz44.png)

Accepted Answer

To find the central angle corresponding to the expenditure on binding, use the formula: Central Angle = (Percentage / 100) × 360°.

Given percentage for binding = 23%.

Central Angle = (23 / 100) × 360° = 0.23 × 360° = 82.8°.

Hence, the central angle for the binding sector is 82.8°.

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