Question

The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :

Find the central angle for labour expenditure.

Answer 1

Total cost =  Rs.540000

Let the measure of central angle of labour be θ.

∴ θ + 90° + 45° + 75° + 50° = 360°  .....[∵ The measures of a circle is 360°]

∴ θ + 260° = 360°

∴ θ = 360° - 260°

∴ θ = 100°

The cental angle for labour expenditure is 100°.