choose one option which is the equivalent in radians of an angle of 135 degrees.
( ð = pie 3.14...)
A. ð / 2
B. 3ð / 2
C. 7ð / 8
D. 5ð / 4
E. 3ð / 4
F. 5ð / 8
da answer is E, Simply because with radians, pie iz treated as 180, so in respect to E, 3 x 180/4 = 135
TRY IT
To find the equivalent in radians of an angle of 135 degrees, you need to convert degrees to radians using the following formula:
Angle in radians = (Angle in degrees) x (π / 180)
In this case, the angle is 135 degrees, so substituting the values into the formula:
Angle in radians = 135 x (π / 180)
Simplifying the equation:
Angle in radians = 3π/4
Comparing the options given:
A. π/2 = 2π/4 ≠ 3π/4
B. 3π/2 = 6π/4 ≠ 3π/4
C. 7π/8 ≠ 3π/4
D. 5π/4 ≠ 3π/4
E. 3π/4 = 3π/4 (This option matches the result we obtained from the calculation)
F. 5π/8 ≠ 3π/4
Therefore, the correct answer is option E, 3π/4.