4, 16, 30, 20, 10, 14, and 26 are represented on a pie chart.
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
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:
- Option A is incorrect.
- Option B is not correct.
- C is incorrect.
- 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 /