Mullins Harper
02/28/2023 · Middle School
Convert the following radian measure to degree measure. \( \frac{4 \pi}{3} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To convert radians to degrees, you can use the conversion factor \( \frac{180^\circ}{\pi} \).
Starting with the radian measure \( \frac{4\pi}{3} \):
\[
\frac{4\pi}{3} \times \frac{180^\circ}{\pi}
\]
The \( \pi \) in the numerator and denominator cancels out:
\[
= \frac{4 \times 180^\circ}{3}
\]
Now, calculate \( \frac{4 \times 180}{3} \):
\[
= \frac{720}{3} = 240^\circ
\]
Thus, \( \frac{4\pi}{3} \) radians is equal to \( 240^\circ \).
Quick Answer
\( \frac{4\pi}{3} \) radians is equal to \( 240^\circ \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit