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

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MATHS

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

A. 48o

B. 84o

C. 92o

D. 276o

QUICK ANSWER…

D

DETAILS…

If 4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart, the sum of the angles of the bisectors representing all numbers equals to or greater than 16 is 138.

Numbers equal or greater than 16 = 16, 30, 20, and 26

The sum of numbers equal or greater than 16 = 16 + 30 + 20 + 26 = 92

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Sum of all the numbers = 4 + 16 + 30 + 20 + 10 + 14 + 26 = 120

The angle representing numbers that is equal or greater than 16 = 92/120 × 360

= 276⁰

The sum of the angle between the bisectors is also equal to 276⁰.

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is not correct.
  3. C is incorrect.
  4. D is the correct answer.

KEY-POINTS…

You may please note these/this:

  • Angle formed by one of the numbers = (the number / sum of all the numbers) × 360
  • Sum of the angles of all the bisectors of the angles in a pie chart = sum of all the angles since it is formed within the circle.

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/ culled from 2021 JAMB-UTME MATHEMATICS question 22 /

1 Answers

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    Sum of the angles of all the bisectors of the angles in a pie chart = sum of all the angles since they are formed within the circle.

    Admin - Mar 29, 2022 | Reply


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