Draw a pie chart based on the following information about viewers' favourite type of TV channel: Entertainment — 50%, Sports — 25%, News — 15%, Information — 10%.
Formula: Total circle = 360° Angle = Percentage × 360°/100 = Percentage × 3.6°
Entertainment: 50% × 360° = 180°
Sports: 25% × 360° = 90°
News: 15% × 360° = 54°
Information: 10% × 360° = 36°
Answer: The pie chart should have four sectors: Entertainment with 180° angle, Sports with 90° angle, News with 54° angle, and Information with 36° angle.
Explanation
The chapter demonstrates converting percentages to angles for pie charts. Since the total circle is 360°, each percentage is converted by multiplying by 360°/100 = 3.6°. Entertainment: 50% × 3.6° = 180°, Sports: 25% × 3.6° = 90°, News: 15% × 3.6° = 54°, Information: 10% × 3.6° = 36°.
Solution Steps
Step 1: Entertainment angle = 50% × 360° = 180°
Step 2: Sports angle = 25% × 360° = 90°
Step 3: News angle = 15% × 360° = 54°
Step 4: Information angle = 10% × 360° = 36°
Step 5: Draw circle and mark sectors with these angles