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Convert the angle \theta=\dfrac{23\pi}{20}θ= ​20 ​ ​23π ​​ theta, equals, start fraction, 23, pi, divided by, 20, end fraction radians to degrees

Respuesta :

sqdancefan
(23π/20) rad * 180°/(π rad) = (23π*180°)/(20π) = 9*23° = 207°
carlosego

For this case we have the following angle in radians:

[tex] theta = \frac{23\pi}{20} [/tex]

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

π radians = 180 degrees

Applying the conversion to the given angle we have:

[tex] theta = \frac{23\pi}{20}*\frac{180}{\pi} [/tex]

Rewriting we have:

[tex] theta = 207 [/tex]

Answer:

the angle measured in degrees, it is given by:

[tex] theta = 207 [/tex]

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