// Numbas version: exam_results_page_options {"name": "Terry's copy of Converting angles from degrees to radians", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "

Convert from degrees to radians

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Please convert the following angles from degrees to radians.

Note: to enter the value $\\pi$ simply type pi. For example, $\\frac{3\\pi}{2}$ could be entered as 3*pi/2 or even as 3pi/2

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$180^\\circ$ is equal to $\\pi$ radians. This means for each $180^\\circ$ we can replace it with $\\pi$ radians. To determine how many $180^\\circ$s are in an angle, we divide the angle by $180^\\circ$. In other words, to convert from degrees to radians we divide by $180^\\circ$ and multiply by $\\pi$ radians.

For example, $\\displaystyle 72^\\circ=\\frac{72^\\circ}{180^\\circ}\\times \\pi=\\frac{2\\pi}{5}$.

It is useful to memorise some of the very common angles, for example, $30^\\circ=\\displaystyle \\frac{\\pi}{6},\\, 45^\\circ=\\frac{\\pi}{4},\\, 60^\\circ=\\frac{\\pi}{3}, \\,90^\\circ=\\frac{\\pi}{2}, \\,180^\\circ=\\pi$ and $360^\\circ=2\\pi$.

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$\\var{easy1}^\\circ=$ [[0]]

$\\var{med}^\\circ=$ [[0]]

$\\var{a*b}^\\circ=$ [[0]]

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