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The following documentaries show the number of cars parked in five different areas of a city. The number of cars parked in a particular parking area is shown as a percentage of the total number of cars parked in all parking areas. What is the difference between the central angle subtended by the segment for the parking area P4 and P1?

The following documentaries show the number of cars parked in five different areas of a city. The number of cars parked in a particular parking area is shown as a percentage of the total number of cars parked in all parking areas. What is the difference between the central angle subtended by the segment for the parking area P4 and P1? Correct Answer 32.4º

The Central Angle formed by the Percentage of P4 obtained as:

(22/100) × 360° = (7920/10)° = 79.2°

The Central Angle formed by the Percentage of P1 obtained as: 

(13/100) × 360° = (4680/10)° = 46.8°

The difference between the central angles formed by the segments of P4 and P1 as:

79.2° -  46.8° = 32.4°

∴ The difference between the central angles formed by the segments P4 and P2 is 32.4°. 

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