This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Calculate the total number of students. Add the number of students for all subjects: Total students = 45 (Math) + 39 (Physics) + 28 (Chemistry) + 14 (Biology) + 36 (Economics) + 18 (History) Total students = 180 Step 2: Calculate the central angle for each subject. To draw a pie chart, each category's proportion of the total is represented by a sector of a circle. A full circle is 360^. The central angle for each subject is calculated as: Central Angle = Number of students in subjectTotal number of students × 360^ Mathematics: (45)/(180) × 360^ = 90^ Physics: (39)/(180) × 360^ = 78^ Chemistry: (28)/(180) × 360^ = 56^ Biology: (14)/(180) × 360^ = 28^ Economics: (36)/(180) × 360^ = 72^ History: (18)/(180) × 360^ = 36^ Step 3: Draw the pie chart. To draw the pie chart, use a compass to draw a circle. Then, use a protractor to measure and draw the calculated central angles from the center of the circle. Label each sector with its corresponding subject. The central angles for the pie chart are: Mathematics: 90^ Physics: 78^ Chemistry: 56^ Biology: 28^ Economics: 72^ History: 36^ That's 2 down. 3 left today — send the next one.