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Convert the angle -2.5 radians to degrees, rounding to the nearest 10th. Answer:

Convert the angle −2-2.55 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:

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Full solution

Q. Convert the angle −2-2.55 radians to degrees, rounding to the nearest 1010th.\newlineAnswer:
  1. Convert to degrees: To convert radians to degrees, we use the conversion factor that π\pi radians is equivalent to 180180 degrees. The formula to convert radians to degrees is: degrees=radians×(180π)\text{degrees} = \text{radians} \times (\frac{180}{\pi}).
  2. Apply formula: Now, we apply the formula to −2.5-2.5 radians: degrees = −2.5×(180/π)-2.5 \times (180/\pi).
  3. Calculate value: We calculate the value: degrees=−2.5×(180/π)≈−2.5×57.2958≈−143.239.\text{degrees} = -2.5 \times (180/\pi) \approx -2.5 \times 57.2958 \approx -143.239.
  4. Round result: Finally, we round the result to the nearest tenth: degrees≈−143.2\text{degrees} \approx -143.2.

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