According to the pie chart, what fraction of the total does segment Y represent?

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Question: According to the pie chart, what fraction of the total does segment Y represent?

Options:

Correct Answer: 1/3

Solution:

Segment Y represents 120 degrees in a 360-degree pie chart, which is 1/3 of the total.

According to the pie chart, what fraction of the total does segment Y represent?

According to the pie chart, what fraction of the total does segment Y represent?

Step 1: Understand that a pie chart is a circle that represents a whole (360 degrees).
Step 2: Identify the angle of segment Y, which is given as 120 degrees.
Step 3: To find the fraction of the total that segment Y represents, divide the angle of segment Y by the total angle of the pie chart.
Step 4: Calculate the fraction: 120 degrees (segment Y) divided by 360 degrees (total) equals 120/360.
Step 5: Simplify the fraction 120/360 by dividing both the numerator and denominator by 120, which gives you 1/3.
Step 6: Conclude that segment Y represents 1/3 of the total pie chart.

Fraction of a Circle – Understanding how to calculate the fraction of a segment in a pie chart based on its angle relative to the total angle of the circle.
Degrees in a Circle – Knowledge that a full circle is 360 degrees and how to use this to find proportions.