Asksia AI LOGO

Sia

Question
Math
Posted 6 months ago

Convert the angle θ=133π72\theta=\frac{133 \pi}{72} radians to degrees.
Express your answer exactly.
θ=
\theta=
Sign in to unlock the answer
Answer from Sia
Posted 6 months ago
Solution by Steps
step 1
To convert radians to degrees, multiply by 180π\frac{180}{\pi}
step 2
Multiply 133π72\frac{133\pi}{72} by 180π\frac{180}{\pi} to convert to degrees
step 3
Simplify the expression: 133π72×180π=133×18072\frac{133\pi}{72} \times \frac{180}{\pi} = \frac{133 \times 180}{72}
step 4
Calculate the simplified expression: 133×18072=332.5\frac{133 \times 180}{72} = 332.5 degrees
step 5
Since we need an exact answer, express 332.5332.5 degrees as 332332 degrees and 3030 arcminutes
[1] Answer
θ=332\theta = 332 degrees 3030 arcminutes
Key Concept
Conversion from radians to degrees
Explanation
To convert an angle from radians to degrees, multiply the radian measure by 180π\frac{180}{\pi}. The result can be expressed in degrees and arcminutes for an exact representation.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Unlock Smarter Learning with AskSia Super!

Join Super, our all-in-one AI solution that can greatly improve your learning efficiency.

30% higher accuracy than GPT-4o
Entire learning journey support
The most student-friendly features
Study Other Question