The problem presents a pie chart illustrating how teenagers spend their time online. The task is to find the measure of arc $CD$ in degrees, where $C$ corresponds to "Videos" (20%) and $D$ corresponds to "Music" (14%). We are instructed not to round our answer.

1. Problem Description

The problem presents a pie chart illustrating how teenagers spend their time online. The task is to find the measure of arc $CD$ in degrees, where $C$ corresponds to "Videos" (20%) and $D$ corresponds to "Music" (14%). We are instructed not to round our answer.

2. Solution Steps

A circle has a total of 360 degrees. Since the pie chart represents percentages of time spent online, we can convert each percentage to degrees by multiplying the percentage (expressed as a decimal) by

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6

0.

The sector corresponding to "Videos" has a percentage of 20%.

The sector corresponding to "Music" has a percentage of 14%.

We want to find the arc measure of $CD$, which is the arc corresponding to "Videos" and "Music". The combined percentage for "Videos" and "Music" is $20\% + 14\% = 34\%$.

To convert this percentage to degrees, we multiply the percentage expressed as a decimal by 360:

$m\stackrel{\frown}{CD} = 0.34 \times 360$

$m\stackrel{\frown}{CD} = 122.4$

3. Final Answer

122.4