**AAUA allocations to various faculties in a school budget are as follows:Science:...**

### Question

AAUA allocations to various faculties in a school budget are as follows:

Science: ₦35,000,000.00Education: ₦25,000,000.00

Law: ₦20,000,000.00

Social and Management: ₦20,000,000.00.

In a pie chart to represent this information, the corresponding angle to science is

### Options

The correct answer is B.

### Explanation:

To find the angle that represents the Science allocation in a pie chart, we need to determine the proportion of the total budget allocated to Science and then convert that proportion to an angle.

First, let's calculate the total budget by adding the allocations for each faculty:

₦35,000,000 (Science) + ₦25,000,000 (Education) + ₦20,000,000 (Law) + ₦20,000,000 (Social and Management) = ₦100,000,000

Now, let's calculate the proportion of the total budget allocated to Science:

\(\frac{₦35,000,000}{₦100,000,000} = \frac{35}{100}\)

Next, we need to convert this proportion to an angle. A pie chart has a total of 360°. So, we can find the angle that represents the Science allocation by multiplying the proportion by 360:

\(\frac{35}{100} \times 360° = 0.35 \times 360° = 126°\)

The correct answer is **126° (Option B)**, which represents the angle corresponding to the Science allocation in the pie chart.

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Total budget =N100,000,000

Therefore, science =35,000,000/100,000,000*360

=1260/10=126°