Question

If 540 students were surveyed for their subject preferences and the angle corresponding to the mathematics sector is 1000, then number of students who prefer mathematics is *

Answer 1

Answer:

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Answer 2

Answer:

The number of students who prefer mathematics is 150.

Step-by-step explanation:

Pie chart:

• A pie chart is a graphical image in a circular shape, that is used in statistics to illustrate the numerical proportions.
• Pie chart or pie diagram is divided into slices, the arc length of each slice gives the measure of the quantity it represents.

Given the total number of students who participated in the survey for their subject preferences is 540.

The angle corresponding to the mathematics sector is 100°.

The total angle of a circle 360°.

To find the percentage of students that preferred mathematics, divide the angle by 360° and multiply it by 100.

$\dfrac{100}{360}\times 100 \approx27.78\%$

Then, the number of students that preferred mathematics is

$\dfrac{27.78}{100}\times 540 =150$

Therefore, the number of students who prefer mathematics is 150.

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