Find the central angle of the pie chart for winter.

• (a) 90
• (b) 120
• (c) 150
• (d) None of these

To determine the central angle of the pie chart for winter, we first need to understand how pie charts represent data. A pie chart divides a circle into slices, where each slice corresponds to a portion of the whole. The entire circle represents 360 degrees, and each segment's angle is proportional to the quantity it represents.

Steps to Calculate the Central Angle

Let’s break down the process of finding the central angle for winter:

• Identify the Total Data: First, we need to know the total data points represented in the pie chart. This could be the total number of seasons or any other relevant data.
• Determine Winter's Data: Next, find out how many data points correspond to winter. This could be a count of occurrences, sales, or any other metric.
• Calculate the Proportion: The proportion of winter data to the total data will help us find the fraction of the circle that winter occupies. This is calculated as:

Proportion of Winter = (Winter Data / Total Data)

• Convert to Angle: To find the central angle for winter, multiply the proportion by 360 degrees:

Central Angle for Winter = Proportion of Winter × 360

Example Calculation

Let’s say the total data points are 300, and winter accounts for 75 of those points. Here’s how you would calculate the central angle:

• Proportion of Winter = 75 / 300 = 0.25
• Central Angle for Winter = 0.25 × 360 = 90 degrees

In this example, the central angle for winter would be 90 degrees. Now, looking at the options provided:

• (a) 90
• (b) 120
• (c) 150
• (d) None of these

Since we calculated the central angle to be 90 degrees, the correct answer is (a) 90.

Final Thoughts

This method can be applied to any segment of a pie chart. Just remember to gather your total data and the specific data for the segment you’re interested in. By following these steps, you can accurately determine the central angle for any part of a pie chart!