Question : The pie chart given below shows the number of tyres for 6 companies. The number of tyres of a particular company is shown as a percentage of the total number of tyres of these 6 companies. What is the sum of central angles formed by the sectors representing tyres of companies F and A?
Option 1: 84°
Option 2: 108°
Option 3: 144°
Option 4: 112°
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Correct Answer: 144°
Solution : Given: A% = 28% and F% = 12%. We know that in a pie chart 360° = 100% ⇒ 1° = 3.6% The sum of central angles formed by the sectors representing tyres of companies F and A = 12% + 28% = 40%. ⇒ 40% = 40 × 3.6° = 144° Hence, the correct answer is 144°.
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