Question

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

Answer 1

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

Answer 2

For this case we have the following angle in radians:

$theta = \frac{23\pi}{20}$

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:

$theta = \frac{23\pi}{20}*\frac{180}{\pi}$

Rewriting we have:

$theta = 207$

Answer:

the angle measured in degrees, it is given by:

$theta = 207$