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The Pie-chart Given in the Following Shows the Annual Agricultural Production of an Indian State. If the Total Production of All the Commodities is 81000 Tonnes, Find the Production (In Tonnes) of - Mathematics

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ConceptIntroduction of Circle Graph Or Pie Chart

Question

The pie-chart given in the following shows the annual agricultural production of an Indian state. If the total production of all the commodities is 81000 tonnes, find the production (in tonnes) of
(i) Wheat
(ii) Sugar
(iii) Rice
(iv) Maize
(v) Gram

Solution

(i) \[\text{ Production of wheat }= \frac{\text{ Central angle for wheat }\times\text{ Total production }}{360^\circ}\]
\[ = \frac{120^\circ \times 81000}{360^\circ} = 27000\text{ tonnes }\]

(ii)\[\text{ Production of sugar }= \frac{\text{ Central angle for sugar }\times\text{ Total production }}{360^\circ}\]
\[ = \frac{10^\circ \times 81000}{360^\circ} = 22500\text{ tonnes }\]

(iii) \[\text{ Production of rice }= \frac{\text{ Central angle for Rice }\times\text{ Total production }}{360^\circ}\]
\[ = \frac{60^\circ \times 81000}{360^\circ} = 13500\text{ tonnes }\]

(iv) \[\text{ Production of maize }= \frac{\text{ Central angle for maize }\times\text{ Total production }}{360^\circ}\]
\[ = \frac{30^\circ \times 81000}{360^\circ} = 6750\text{ tonnes }\]

(v) \[\text{ Production of gram }= \frac{\text{ Central angle for Gram }\times\text{ Total production }}{360^\circ}\]
\[ = \frac{120^\circ \times 81000}{360^\circ} = 11250\text{ tonnes }\]

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 25: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
Ex. 25.2 | Q: 2 | Page no. 21

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Solution The Pie-chart Given in the Following Shows the Annual Agricultural Production of an Indian State. If the Total Production of All the Commodities is 81000 Tonnes, Find the Production (In Tonnes) of Concept: Introduction of Circle Graph Or Pie Chart.
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