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What radian measure is equivalent to 315 degrees?

A) 7pi/4 radians
B) 4pi/7 radians
C) 7pi/8 radians
D) 74 radians

User Herzult
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1 Answer

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Final answer:

To convert 315 degrees to radians, multiply by π and divide by 180, resulting in 7π/4 radians. Thus, the equivalent radian measure for 315 degrees is 7π/4 radians.

Step-by-step explanation:

The radian measure equivalent to 315 degrees is calculated using the relationship between degrees and radians. One revolution, which is 360 degrees, is equal to 2π radians. To convert degrees to radians, you multiply by π and divide by 180.

For 315 degrees, the conversion is as follows:

(315 degrees) × (π radians / 180 degrees) = 7π/4 radians.

Therefore, the correct answer is A) 7π/4 radians.

User JazZRo
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