The problem asks to find the measure of arc $AB$ in degrees. The circle graph shows the results of a survey about how teenagers spend their time online. Arc $AB$ corresponds to the "Videos" section, which is 20% of the circle.

GeometryCirclesArcsPercentagesCircle Graphs
2025/4/30

1. Problem Description

The problem asks to find the measure of arc ABAB in degrees. The circle graph shows the results of a survey about how teenagers spend their time online. Arc ABAB corresponds to the "Videos" section, which is 20% of the circle.

2. Solution Steps

A full circle has 360 degrees. We need to find 20% of 360 degrees.
To do this, we can use the formula:
Measure of arc AB=(Percentage of circle)×360\text{Measure of arc AB} = (\text{Percentage of circle}) \times 360^{\circ}
In this case, the percentage of the circle corresponding to arc ABAB is 20%, or 0.
2

0. Therefore,

Measure of arc AB=0.20×360\text{Measure of arc AB} = 0.20 \times 360^{\circ}
Measure of arc AB=72\text{Measure of arc AB} = 72^{\circ}

3. Final Answer

m arc AB=72m\ \text{arc}\ AB = 72^{\circ}

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