Which if the following is equivalent to 7pi/4?
A.285 degrees
B. 305 degrees
C. 315 degrees
D. 330 degrees
E. 375 degrees
π is equivalent to 180°
So
7π/4=7*180/4=315°
To determine which of the given options is equivalent to 7π/4, we need to convert 7π/4 into degrees.
We know that π radians is equal to 180 degrees, so we can convert radians to degrees by multiplying by the conversion factor (180 degrees/π radians).
Let's calculate it step-by-step:
7π/4 * (180 degrees/π radians)
= (7 * 180 degrees * π) / (4 * π)
= (7 * 180 degrees) / 4
= 7 * (180 degrees / 4)
= 7 * 45 degrees
= 315 degrees
Therefore, the option that is equivalent to 7π/4 is C. 315 degrees.
To determine which of the options is equivalent to 7π/4, we need to convert 7π/4 from radians to degrees. We can use the following conversion formula:
Degrees = (Radians * 180) / π
Plugging in the value for 7π/4:
Degrees = (7π/4 * 180) / π
Degrees = (7 * 180) / 4
Degrees = 1260/4
Degrees = 315
Therefore, the angle equivalent to 7π/4 is 315 degrees.
So, the correct answer is option C: 315 degrees.