QUESTION

CSAT

Easy

Maths

Prelims 2021

A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that proteins correspond to 16%16\% and water corresponds to 70%70\%. If both proteins and the other dry elements correspond to p%p\%, then what is the central angle of the sector representing pp on the pie diagram?

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Explanation

Percentage of Other Dry Elements in the human body = 100(Percentage of Proteins + Percentage of Water)=100(16+70)=10086=14%100 – (\text{Percentage of Proteins + Percentage of Water}) = 100 - (16 + 70) = 100 – 86 = 14\%

The following pie-chart represents the scenario described in the question.

Pie Chart

So, percentage of both Proteins and Other Dry Elements, i.e. p=16+14=30%p = 16 + 14 = 30\% In a pie diagram, 100% corresponds to 360°360°.

So, 30% will correspond to (360100)×30=108°(\frac{360}{100}) \times 30 = 108°

That is, the central angle of the sector representing pp on the pie diagram = 108°108°

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