Converting Radians to Degrees
To convert an angle from radians to degrees, use the conversion factor $\frac{180^\circ}{\pi}$. The formula is:
Degrees = Radians $\times \frac{180^\circ}{\pi}$
Calculation Steps
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Identify the angle in radians: The given angle is 1.5 radians.
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Apply the conversion formula: Substitute 1.5 into the formula.
Degrees = $1.5 \times \frac{180^\circ}{\pi}$
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Perform the multiplication:
Degrees = $\frac{1.5 \times 180^\circ}{\pi} = \frac{270^\circ}{\pi}$
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Calculate the final value:
Using the approximate value of $\pi \approx 3.14159$, we get:
Degrees $\approx \frac{270^\circ}{3.14159} \approx 85.943669^\circ$
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Round the result:
Rounding to two decimal places, the angle is approximately $85.94^\circ$.
Therefore, 1.5 radians is approximately $85.94^\circ$.
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