Question

N a circle graph displaying the most popular fruit sold to students in the school cafeteria, the ratio of apples to the total pieces of fruit sold is 3/5

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What is the angle measure of the apples section of the graph?

Answer 1

The angle measure of the apples section in a circle graph, where the ratio of apples to total fruit is 3/5, is 216 degrees.

Step-by-step explanation:

The student's question is about how to find the angle measure of the apples section in a pie chart when the ratio of apples to the total pieces of fruit sold is 3/5. A full circle in a pie chart corresponds to 360 degrees. Since the ratio of apples to total fruit is 3/5, we can calculate the angle for apples by multiplying the ratio by the full circle angle. The calculation would be (3/5) x 360 degrees.

To carry out this calculation:

1. First convert the ratio to a decimal, which is 0.6 when we divide 3 by 5.
2. Multiply this decimal by the total angle of a circle: 0.6 x 360 degrees.

This gives us 216 degrees, which is the angle measure of the apples section in the pie chart.

Answer 2

Since the ratio of apples to the total pieces of fruit sold is 3/5, we know that the apples section of the graph represents 3/5 of the total angle of the circle graph.

The total angle of a circle is 360 degrees, so we can set up the equation:

3/5 x 360 = angle measure of the apples section

Simplifying the left side, we get:

216 = angle measure of the apples section

Therefore, the angle measure of the apples section of the graph is 216 degrees.