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Given a circle with radius between 2 and 6 units, students are given a set of 8 points and asked to identify whether they are on, inside or outside the circle locus.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Consider the circle centre at the origin and of radius $\\var{r}$.
\n", "advice": "{graph}
\n$A=(\\var{r},0))\\qquad B=(0,-\\var{r})\\qquad C=(\\var{r-1},\\sqrt{\\var{2*r-1}})\\qquad D=(-\\sqrt{\\var{2*r-1}},\\var{r-1})$
$E=(\\var{r-1},-\\var{r-1})\\qquad F=(-\\var{r-1},-2\\sqrt 2)\\qquad G=(1,\\var{r/2})\\qquad H=(\\var{r},-\\var{r})$
radius of the circle
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", "answer": "x^2+y^2={r}^2", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}, {"name": "y", "value": ""}]}, {"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "For the following points determine which lie on the circumference of this circle, which lie inside the circle and which lie outside the circle.
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