Question
Question 3 ( 4 points) 1. To find the radian equivalent of \( 175^{\circ} \), I would multiply it by _ radians. be equal to 2. To find the degree equivalent of \( \frac{7 \pi}{5} \), I would multiply it by be equal to \( \quad \) degrees. Blank \( 1: \)
Ask by Norton Blake. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To convert 175° to radians, multiply by π/180.
Solution
1. To convert 175° to radians, multiply by π/180.
2. To convert (7π)/5 to degrees, multiply by 180/π.
Blank 1: π/180
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To convert degrees to radians, you multiply by \( \frac{\pi}{180} \). So, for \( 175^{\circ} \), you would calculate: \( 175 \times \frac{\pi}{180} \) radians, which will give you a radian measure of approximately \( 3.054 \) radians after simplification. For converting radians to degrees, you multiply by \( \frac{180}{\pi} \). Therefore, for \( \frac{7 \pi}{5} \), you would compute \( \frac{7 \pi}{5} \times \frac{180}{\pi} \), yielding \( 252^{\circ} \) after the \( \pi \) cancels out. So, get ready to impress your friends with that angle conversion flair!