In a class, mathematics is the favourite subject of two-thirds of the class. What is the central angle of the sector representing this group in a pie chart?

90^{\circ}

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120^{\circ}

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180^{\circ}

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240^{\circ}

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Solution

The correct option is D $240^{\circ}$
Suppose there are n students in the class. Then the number of students whose favourite subject is mathematics is $\frac{2}{3} n$ .
Central angle of the sector = $\frac{\frac{2}{3} n}{n} \times 360^{\circ}$
$= \frac{2}{3} \times 360^{\circ} = 240^{\circ}$

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In a class, mathematics is the favourite subject of two-thirds of the class. What is the central angle of the sector representing this group in a pie chart?

The correct option is D 240∘Suppose there are n students in the class. Then the number of students whose favourite subject is mathematics is 23n. Central angle of the sector = 23nn×360∘ =23×360∘=240∘

The correct option is D $240^{\circ}$
Suppose there are n students in the class. Then the number of students whose favourite subject is mathematics is $\frac{2}{3} n$ .
Central angle of the sector = $\frac{\frac{2}{3} n}{n} \times 360^{\circ}$
$= \frac{2}{3} \times 360^{\circ} = 240^{\circ}$