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Construction of Pie Chart

A farmer uses...

Question

A farmer uses a pie chart to record the portion of land in which he has planted each type of crop. If the total farm area of 10 acres is divided among crops as given, find the angle wheat makes in the pie chart.

Crop Corn Barley Rice Wheat

Area (in acres) 1 2 3 4

A

150°

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B

144°

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C

136°

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D

120°

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Solution

The correct option is B 144°
$T o t a l a r e a = 10 a c r e s$
$T o t a l a n g l e o n t h e p i e c h a r t = 360 °$

$A n g l e t h a t r e p r e s e n t s 1 a c r e o n t h e p i e c h a r t = \frac{360 °}{10} = 36 °$

$A r e a u s e d t o c u l t i v a t e w h e a t = 4 a c r e s$

$⟹ A n g l e t h a t r e p r e s e n t s w h e a t$
$o n t h e p i e c h a r t = 4 \times 36 ° = 144 °$

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