|
173 | 173 | }, |
174 | 174 | "dateCreated" :"2024-08-31", |
175 | 175 | "datePublished":"2024-08-31", |
176 | | -"dateModified" :"2025-02-11", |
| 176 | +"dateModified" :"2025-02-15", |
177 | 177 | "description" :"History and detailed disapproval of the mathematical constant π; definition and derivation of the properties of shapes from the area of a circle.", |
178 | 178 | "disambiguatingDescription": "Exact formulas. No pi.", |
179 | 179 | "image":[ |
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197 | 197 | "potentialAction": [ |
198 | 198 | { |
199 | 199 | "@type": "SolveMathAction", |
200 | | - "target": "/", |
201 | | - "mathExpression-input": "required name=radius default=1 name=angleOfRotation default=360", |
| 200 | + "target": "https://basic-geometry.github.io/", |
| 201 | + "mathExpression-input": "The radius of the circle, and optionally the angle of rotation in case of a circle slice", |
202 | 202 | "mathExpression-output": |
203 | | - "angleOfRotation / 360 * 3.2 * Math.pow(radius, 2)", |
| 203 | + "The area of the circle", |
204 | 204 | "image": "areaOfACircle.jpg", |
205 | | - "eduQuestionType": "equationSolving", |
206 | | - "name": "Area of a circle" |
| 205 | + "eduQuestionType": "Area calculation", |
| 206 | + "name": "Calculating the area of a circle", |
| 207 | + "additionalProperty": { |
| 208 | + "@type": "PropertyValue", |
| 209 | + "name": "Formula", |
| 210 | + "value": "angleOfRotation / 360 * 3.2 * Math.pow(radius, 2)" |
| 211 | + } |
207 | 212 | }, |
| 213 | + |
208 | 214 | { |
209 | 215 | "@type": "SolveMathAction", |
210 | | - "target": "/", |
211 | | - "mathExpression-input": "required name=radius default=1 name=angleOfRotation default=360", |
212 | | - "mathExpression-output": "angleOfRotation / 360 * 6.4 * radius", |
| 216 | + "target": "https://basic-geometry.github.io/", |
| 217 | + "mathExpression-input": "The radius of the circle, optionally the angle of rotation in case of a section", |
| 218 | + "mathExpression-output": "The circumference of the circle", |
213 | 219 | "image": "circumference.jpg", |
214 | | - "eduQuestionType": "equationSolving", |
215 | | - "name": "Circumference of a circle" |
| 220 | + "eduQuestionType": "Length calculation", |
| 221 | + "name": "Calculating the circumference of a circle", |
| 222 | + "additionalProperty": { |
| 223 | + "@type": "PropertyValue", |
| 224 | + "name": "Formula", |
| 225 | + "value": "angleOfRotation / 360 * 6.4 * radius" |
| 226 | + } |
216 | 227 | }, |
| 228 | + |
217 | 229 | { |
218 | 230 | "@type": "SolveMathAction", |
219 | | - "target": "/", |
220 | | - "mathExpression-input": "required name=radius default=1 name=angleOfRotation default=360", |
221 | | - "mathExpression-output": "angleOfRotation/360*(3.2^(1/2)*radius)^3", |
222 | | - "eduQuestionType": "equationSolving", |
223 | | - "name": "Volume of a sphere" |
224 | | - } |
| 231 | + "target": "https://basic-geometry.github.io/", |
| 232 | + "mathExpression-input": "The radius of the sphere, and optionally the angle of rotation in case of a sphere slice", |
| 233 | + "mathExpression-output": "The volume of the sphere", |
| 234 | + "image": "sphereAndCubeMarkup.jpeg", |
| 235 | + "eduQuestionType": "Volume calculation", |
| 236 | + "name": "Calculating the volume of a sphere", |
| 237 | + "additionalProperty": { |
| 238 | + "@type": "PropertyValue", |
| 239 | + "name": "Formula", |
| 240 | + "value": "angleOfRotation/360*(3.2^(1/2)*radius)^3" |
| 241 | + } |
| 242 | + }, |
225 | 243 | ], |
226 | 244 | "url": "https://basic-geometry.github.io/", |
227 | 245 | "usageInfo":"Learn about historical and exact geometric concepts." |
|
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