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Convert the angle -3.5 radians to degrees, rounding to the nearest 10 th. Answer:

Convert the angle −3-3.55 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:

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Full solution

Q. Convert the angle −3-3.55 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:
  1. Understand radians and degrees: Understand the relationship between radians and degrees. One radian is equal to 180/π180/\pi degrees. To convert radians to degrees, we multiply the radian measure by 180/π180/\pi.
  2. Convert −3.5-3.5 radians: Convert −3.5-3.5 radians to degrees using the conversion factor.\newlineTo convert −3.5-3.5 radians to degrees, we multiply −3.5-3.5 by 180π\frac{180}{\pi}.\newlineCalculation: (−3.5(-3.5 radians) * \left(\frac{180}{\pi} degrees/radian\) = −3.5×180/π-3.5 \times 180/\pi degrees
  3. Perform multiplication for degree measure: Perform the multiplication to find the degree measure.\newlineCalculation: −3.5×180π≈−3.5×57.2958≈−200.536-3.5 \times \frac{180}{\pi} \approx -3.5 \times 57.2958 \approx -200.536 degrees
  4. Round result to nearest 1010th: Round the result to the nearest 1010th. Rounding −200.536-200.536 to the nearest 1010th gives us −200.5-200.5 degrees.

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