Questions: What is 13/18 π in degrees? 130° 190° 260° 290°

What is 13/18 π in degrees? 130° 190° 260° 290°
Transcript text: What is $\frac{13}{18} \pi$ in degrees? $130^{\circ}$ $190^{\circ}$ $260^{\circ}$ $290^{\circ}$
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Solution

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Solution Steps

To convert an angle from radians to degrees, we use the conversion factor \(\frac{180}{\pi}\). Multiply \(\frac{13}{18} \pi\) by this factor to get the angle in degrees.

Step 1: Convert Radians to Degrees

To convert an angle from radians to degrees, use the conversion factor \(\frac{180}{\pi}\). Given the angle \(\frac{13}{18} \pi\) radians, the conversion to degrees is calculated as follows:

\[ \text{Degrees} = \left(\frac{13}{18} \pi\right) \times \left(\frac{180}{\pi}\right) \]

Step 2: Simplify the Expression

Simplifying the expression, we cancel \(\pi\) and multiply:

\[ \text{Degrees} = \frac{13}{18} \times 180 \]

Step 3: Calculate the Result

Perform the multiplication:

\[ \text{Degrees} = \frac{13 \times 180}{18} = 130 \]

Final Answer

The angle \(\frac{13}{18} \pi\) radians is equivalent to \(130^\circ\). Therefore, the answer is the first option:

\[ \boxed{130^\circ} \]

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