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The Following Pie-chart Shows the Number of Students Admitted in Different Faculties of a College. If 1000 Students Are Admitted in Science Answer the Following: - Mathematics

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ConceptIntroduction of Circle Graph Or Pie Chart

Question

The following pie-chart shows the number of students admitted in different faculties of a college. If 1000 students are admitted in Science answer the following:



(i) What is the total number of students?
(ii) What is the ratio of students in science and arts?

Solution

(i) \[\text{ Students in science }= \frac{\text{ Central angle of the corresponding sector }\times\text{ Total students }}{360^\circ}\]
\[1000 = \frac{100^\circ \times\text{ Total students }}{360^\circ} \]
\[ \therefore\text{ Total students }= 3600\]

(ii)\[\text{ Students in arts }= \frac{\text{ Central angle for arts }\times\text{ Total students }}{360^\circ}\]

\[ = \frac{120^\circ \times 3600}{360^\circ} = 1200 \]

\[ \therefore\text{ Ratio of students in science and arts }= 1000: 1200 = 5: 6\]

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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: 3 | Page no. 22

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Solution The Following Pie-chart Shows the Number of Students Admitted in Different Faculties of a College. If 1000 Students Are Admitted in Science Answer the Following: Concept: Introduction of Circle Graph Or Pie Chart.
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