Answer: 75º
Step-by-step explanation:
[tex]\frac{5\pi}{12}(\frac{180}{\pi})=75[/tex]
The conversion of the angle 5pi/12 radians to degrees is 75°.
In π radian = 180° so to convert from radian to degree
1 radian = (180/π)°
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure.
Conversion of radian to a degree is very useful in trigonometry sometimes because we need to change radian to degree or degree to radian.
Given that 5π/12 radian now since
1 radian = (180/π)° so
⇒ 5π/12 × (180/π)°
⇒75° hence, the correct option will be 75 degrees.
For more about the angle
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