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4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the...


Question

4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16.

Options

A) 48o

B) 84o

C) 92o

D) 276o

The correct answer is D.

Explanation:

Given that 4, 16, 30, 20, 10, 14 and 26
Adding up = 120
nos \(\geq\) 16 are 16 + 30 + 20 + 26 = 92
The requires sum of angles = \(\frac{92}{120}\) x \(\frac{360^o}{1}\)
= 276o

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Dicussion (1)

  • Given that 4, 16, 30, 20, 10, 14 and 26
    Adding up = 120
    nos \(\geq\) 16 are 16 + 30 + 20 + 26 = 92
    The requires sum of angles = \(\frac{92}{120}\) x \(\frac{360^o}{1}\)
    = 276o

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