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

For this case we have the following angle in radians:

`theta = (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 = (23\pi)/(20)*(180)/(\pi)`

Rewriting we have:

`theta = 207`

Answer:

the angle measured in degrees, it is given by:

`theta = 207`

Answer 2

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