Convert the angle $$\theta=310^{\circ}$$ to radians. Express your answer exactly.



<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>Convert the angle $$\theta=310^{\circ}$$ to radians. Express your answer exactly.

</textarea>Convert the angle <math><semantics><mrow><mi>θ</mi><mo>=</mo><mn>3</mn><mn>1</mn><msup><mn>0</mn><mrow><mo>∘</mo></mrow></msup></mrow><annotation encoding="application/x-tex">\theta=310^{\circ}</annotation></semantics></math>θ=310​∘​​ to radians. Express your answer exactly.
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Given that,

$${\theta}={3 1 0 ^ { \circ }}=\frac{310 \times \pi}{180}=\frac{31 \pi}{18}$$ 
</textarea>Given that,
<math><semantics><mrow><mrow><mi>θ</mi></mrow><mo>=</mo><mrow><mn>3</mn><mn>1</mn><msup><mn>0</mn><mrow><mo>∘</mo></mrow></msup></mrow><mo>=</mo><mfrac><mrow><mn>3</mn><mn>1</mn><mn>0</mn><mo>×</mo><mi>π</mi></mrow><mrow><mn>1</mn><mn>8</mn><mn>0</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>3</mn><mn>1</mn><mi>π</mi></mrow><mrow><mn>1</mn><mn>8</mn></mrow></mfrac></mrow><annotation encoding="application/x-tex">{\theta}={3 1 0 ^ { \circ }}=\frac{310 \times \pi}{180}=\frac{31 \pi}{18}</annotation></semantics></math>θ=310​∘​​=​180​​310×π​​=​18​​31π​​ 
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