Peterson Pritchard
04/09/2024 · Senior High School
\begin{tabular}{l} All \\ QUESTION \( 1 \cdot 1 \) POINT \\ If angle \( A=320^{\circ} \), what is the radian measure of \( A \) ? Give your answer as an exact fraction in terms of \( \pi \). \\ Provide your answer below: \\ \hline\end{tabular}
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Step-by-step Solution
To convert an angle from degrees to radians, we use the formula:
\[ \text{Radian measure} = \frac{\text{Degree measure} \times \pi}{180} \]
Given that angle \( A = 320^\circ \), we can substitute this value into the formula to find the radian measure of angle \( A \).
\[ \text{Radian measure of } A = \frac{320 \times \pi}{180} \]
Now, we can simplify this expression to get the exact fraction in terms of \( \pi \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{320\pi }{180}\)
- step1: Reduce the fraction:
\(\frac{16\pi }{9}\)
The radian measure of angle \( A \) is \( \frac{16\pi}{9} \).
Quick Answer
The radian measure of angle \( A \) is \( \frac{16\pi}{9} \).
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