What radian measure is equivalent to 75°
pi radians = 180 degrees
x radians = 75 degrees
x = \(\frac{75pi}{180}\)
x = \(\frac{5pi}{12}\)
x = \(\frac{5 × 3.142}{12}\)
x = 1.3092
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Answer:
75° = 1,309 rad or in terms of \(\pi\) 75° = \(\frac{5}{12}\pi\) rad
Step-by-step explanation:
To find the value of 75° in radians we need to know the equivalence between degrees and radians.
The equivalence is :
180° = \(\pi\) rad
Using this ⇒
180° = \(\pi\) rad
75° = \(\frac{(75).\pi}{180}\) rad = \(\frac{5}{12}\pi\) rad or either
1,309 rad
It is more common to express the measure in terms of \(\pi\)