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Convert
9π/4 radians to degree measure.

Multiply by

User Mdziekon
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1 Answer

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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.

User Benscabbia
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