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Express the angle in radian measure.200°

Question

Express the angle in radian measure.200°

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Solution

To express the angle in radian measure, we need to convert it from degrees to radians.

  1. Recall that there are π radians in 180 degrees.
  2. Divide the given angle of 200 degrees by 180 to find the equivalent in terms of π radians. 200 degrees ÷ 180 = 1.1111...
  3. Multiply the result by π to get the angle in radian measure. 1.1111... × π ≈ 3.49 radians.

Therefore, the angle of 200 degrees is approximately equal to 3.49 radians.

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