Final answer:
To convert 9π/4 radians to degree measure, multiply by 180/π and simplify the expression to get 405 degrees.
Step-by-step explanation:
To convert radians to degrees, we need to use the conversion formula: degrees = radians * (180/pi).
Let's substitute the value of radians given in the question:
degrees = (9π/4) * (180/π)
Simplifying the expression, we cancel out the π terms:
degrees = 9 * 180/4
Multiplying 9 by 180 gives:
degrees = 1620/4
Simplifying further, we divide 1620 by 4:
degrees = 405
Therefore, 9π/4 radians is equivalent to 405 degrees.
To convert radians to degrees, we use the fact that 180 degrees is equivalent to π radians. To convert 9π/4 radians to degrees, we multiply by the conversion factor of 180/π:
Multiply 9π/4 by 180/π.
Simplify the expression by canceling out the π terms.
Calculate the result which is 9/4 times 180.
9π/4 × 180/π = 405 degrees. Therefore, 9π/4 radians is equal to 405 degrees.