Question

Convert the angle \theta=\dfrac{133\pi}{72}θ=
72
133π
​
theta, equals, start fraction, 133, pi, divided by, 72, end fraction radians to degrees.

Answer 1

Answer:

I believe it is 332.5.

Please let me know if i am wrong.

Step-by-step explanation:

Answer 2

The angle measured in degrees, it is given by 332.5 degrees.

How to convert radians into a degree?

We can convert radians into a degree by using the formula

Degree = Radians x (180°) / π

To change from radians to degrees, multiply by 180/pi

For this case, we have the following angle in radians,

$\theta=\dfrac{133\pi}{72}$

The first thing you should know to answer the question is the following conversion, so

π radians = 180 degrees

Applying the conversion to the given angle we have:

$\theta=\dfrac{133\pi}{72} \times \dfrac{180}{\pi }$

$\theta=\dfrac{133\pi}{36} \times \dfrac{90}{\pi } \\\\\theta=332.5$

Rewriting we have, the angle measured in degrees, it is given by 332.5 degrees.

Learn more about the degrees here;

https://brainly.com/question/9139412

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