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Question:

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A man's monthly salary is Rs 2400 and his monthly expenses on travel are Rs 250 . The central angle of the sector representing travel expenses in the pie chart would be

(a) $30^{\circ}$

(b) $37 \frac{1}{2}^{\circ}$

(c) $45^{\circ}$

(d) $60^{\circ}$

Solution:

(b) $37 \frac{1}{2}^{\circ}$

Central angle of the sector representing travel expenses $=\left(\frac{\text { value of expenses on travel }}{\text { monthly income }} \times 360\right)^{\circ}$

$=\left(\frac{250}{2400} \times 360\right)^{\circ}$

$=37 \frac{1}{2}^{\circ}$

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