Converting Degrees to Radians: $270^{\circ}$
To convert an angle from degrees to radians, we use the conversion factor $\frac{\pi \text{ radians}}{180^{\circ}}$.
Calculation Steps
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Multiply the angle in degrees by the conversion factor:
$ 270^{\circ} \times \frac{\pi \text{ radians}}{180^{\circ}} $
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Simplify the expression:
$ \frac{270}{180} \times \pi \text{ radians} $
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Reduce the fraction $\frac{270}{180}$. Both numerator and denominator are divisible by 90:
$ \frac{270 \div 90}{180 \div 90} = \frac{3}{2} $
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The result is:
$ \frac{3}{2} \pi \text{ radians} $
Final Answer
Therefore, the radian measure of $270^{\circ}$ is $\frac{3\pi}{2}$.
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