Direction: The pie-chart given below shows the household expenditure of a family on different items. Study the chart carefully and answer the questions that follows.
![](/content-resources/content-images/instruction/488_instruction_image.jpg)
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What is the angle subtended on the center by the segment representing other expenses?
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- 60°
- 54°
- 36°
- 15°
Correct Option: B
As per graph,
other expenses = 15 % of total expenditure.
As we know that the angle made on center in a circle is 360°
Since 100% made an angle 360° in a circle.
therefore 1% made an angle 360° / 100 in a circle.
therefore 15% made an angle 15 x 360° / 100 in a circle.
Central angle for 15% =15 x 36° / 10
Central angle for 15% =3 x 36° / 2
Central angle for 15% =3 x 18° = 54°