The pie chart given below shows the number of players participated in 6 tournaments. The data is presented in the terms of degrees.
Average number of players participated in A, B and F = 80.
Total number of players participated in C and D are what percent of total number of players participated in the given 6 tournaments?
Show answer & explanation
Correct answer: D
Explanation
Given:
A = 54°, B = 36°, C = 108°, D = 72°, E = 60°, F = 30°
Average of A, B, and F = 80
A + B + F = 80 × 3 = 240
Angles corresponding to A + B + F = 54 + 36 + 30 = 120°
⇒ 120° = 240 ⇒ 1° = 2
Angles corresponding to C + D = 108 + 72 = 180°
Value = 180 × 2 = 360
Total angles = 360° ⇒ Total value = 360 × 2 = 720
Percentage = (360 / 720) × 100 = 50%