{
  "title": "Distance formula calculator",
  "human_url": "https://happytails.ai/en/calculators/distance-formula-calculator/",
  "agent_url": "https://happytails.ai/agents/en/calculators/distance-formula-calculator/",
  "language": "en",
  "markdown_url": "https://happytails.ai/en/calculators/distance-formula-calculator.md",
  "content": "Distance formula calculator\nMeasure the straight-line distance between two points.\nHow can we improve this tool?\nReport a problem or share an idea.\nPlease leave out private information. Your message and the tool name go to our team via PostHog.\nHow to use Distance formula calculator\nEnter the values you want to calculate and choose the relevant units or settings.\nThe result updates as you type. Adjust the available settings if needed.\nReview the result, then use Copy result or a download link when available.\nUseful next steps\nMidpoint calculator\nSlope calculator\nPythagorean theorem calculator\nHow to use it\nEnter two x-y coordinate pairs. The result uses the distance formula: square root of (x2 - x1)² + (y2 - y1)².\nA worked example\nFrom (1, 2) to (4, 6), the horizontal difference is 3 and the vertical difference is 4. The straight-line distance is 5.\nWhat to know\nUse consistent units on both axes. The result uses those same units. This is a flat-plane calculation, not driving distance or geographic distance on a globe.",
  "content_format": "text/plain",
  "visibility": "public",
  "links": [
    {
      "name": "Midpoint calculator",
      "url": "https://happytails.ai/en/calculators/midpoint-calculator/"
    },
    {
      "name": "Slope calculator",
      "url": "https://happytails.ai/en/calculators/slope-calculator/"
    },
    {
      "name": "Pythagorean theorem calculator",
      "url": "https://happytails.ai/en/calculators/pythagorean-theorem/"
    }
  ],
  "tool": {
    "id": "distance-formula-calculator",
    "category": "calculators",
    "built": true,
    "requirements": "Use consistent units on both axes. The result uses those same units. This is a flat-plane calculation, not driving distance or geographic distance on a globe.",
    "implementation": {
      "fields": [
        {
          "key": "x1",
          "label": "First x",
          "value": 1,
          "type": "number",
          "min": -1e+100,
          "max": 1e+100,
          "step": "any"
        },
        {
          "key": "y1",
          "label": "First y",
          "value": 2,
          "type": "number",
          "min": -1e+100,
          "max": 1e+100,
          "step": "any"
        },
        {
          "key": "x2",
          "label": "Second x",
          "value": 4,
          "type": "number",
          "min": -1e+100,
          "max": 1e+100,
          "step": "any"
        },
        {
          "key": "y2",
          "label": "Second y",
          "value": 6,
          "type": "number",
          "min": -1e+100,
          "max": 1e+100,
          "step": "any"
        }
      ],
      "input": false,
      "live": true,
      "presentation": "metrics",
      "note": "Straight-line distance on a flat 2D coordinate plane. This is not geographic or driving distance.",
      "experience": {
        "automatic": true,
        "single": false,
        "inputMaxLength": 1000000,
        "inputMode": "text",
        "label": "Your text",
        "placeholder": "Type or paste your input…",
        "help": "Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.",
        "action": null
      },
      "mode": "automatic",
      "interactive": false
    },
    "execution": "Browser interface",
    "api": null,
    "browser_agent": {
      "supported": true,
      "name": "run_current_tool",
      "discovery": "WebMCP on the human page in a supporting browser",
      "verification": "See audit/API-AUDIT.md; availability is not verification"
    }
  },
  "markdown": "# Distance formula calculator\n\n- Human page: https://happytails.ai/en/calculators/distance-formula-calculator/\n- Markdown: https://happytails.ai/en/calculators/distance-formula-calculator.md\n- Structured JSON: https://happytails.ai/agents/en/calculators/distance-formula-calculator/index.json\n- Visibility: public\n\n## Tool capabilities\n\n| Property | Value |\n| --- | --- |\n| Tool ID | `distance-formula-calculator` |\n| Category | calculators |\n| Implementation | Registered implementation. Registration alone is not a production-quality guarantee. |\n| Browser execution | Automatic updates after valid input or file selection. |\n| Browser processing | Browser; see tool notes for network behavior. |\n| HTTP API | Not callable through HTTP. |\n| Browser-agent interface | run_current_tool |\n\n### Implementation notes\n\nStraight-line distance on a flat 2D coordinate plane. This is not geographic or driving distance.\n\n### Inputs and settings\n\nNo free-text input is required. Use the file inputs and/or settings below.\n\n| Setting | Meaning | Control type | Default | Constraints |\n| --- | --- | --- | --- | --- |\n| `x1` | First x | number | 1 | min=-1e+100 max=1e+100 step=any |\n| `y1` | First y | number | 2 | min=-1e+100 max=1e+100 step=any |\n| `x2` | Second x | number | 4 | min=-1e+100 max=1e+100 step=any |\n| `y2` | Second y | number | 6 | min=-1e+100 max=1e+100 step=any |\n\n### Browser-agent workflow\n\n1. Open the human page in a browser that supports WebMCP.\n2. Discover the interface exposed by that page; use its actual schema.\n3. Select files on the page first when the tool requires files.\n4. Call `run_current_tool` with valid input and settings.\n5. Inspect the returned result or error and the displayed output. Retrieve files from the displayed download links.\n\nCalls do not automatically copy or download results. Browser permissions still apply. Interface availability alone is not proof of successful execution.\n\n### Planning specification\n\nUse consistent units on both axes. The result uses those same units. This is a flat-plane calculation, not driving distance or geographic distance on a globe.\n\nThis describes intended requirements. Use the implementation notes, interface schema and observed output to determine current support.\n\n### Complete machine-readable capability record\n\n```json\n{\n  \"id\": \"distance-formula-calculator\",\n  \"category\": \"calculators\",\n  \"built\": true,\n  \"requirements\": \"Use consistent units on both axes. The result uses those same units. This is a flat-plane calculation, not driving distance or geographic distance on a globe.\",\n  \"implementation\": {\n    \"fields\": [\n      {\n        \"key\": \"x1\",\n        \"label\": \"First x\",\n        \"value\": 1,\n        \"type\": \"number\",\n        \"min\": -1e+100,\n        \"max\": 1e+100,\n        \"step\": \"any\"\n      },\n      {\n        \"key\": \"y1\",\n        \"label\": \"First y\",\n        \"value\": 2,\n        \"type\": \"number\",\n        \"min\": -1e+100,\n        \"max\": 1e+100,\n        \"step\": \"any\"\n      },\n      {\n        \"key\": \"x2\",\n        \"label\": \"Second x\",\n        \"value\": 4,\n        \"type\": \"number\",\n        \"min\": -1e+100,\n        \"max\": 1e+100,\n        \"step\": \"any\"\n      },\n      {\n        \"key\": \"y2\",\n        \"label\": \"Second y\",\n        \"value\": 6,\n        \"type\": \"number\",\n        \"min\": -1e+100,\n        \"max\": 1e+100,\n        \"step\": \"any\"\n      }\n    ],\n    \"input\": false,\n    \"live\": true,\n    \"presentation\": \"metrics\",\n    \"note\": \"Straight-line distance on a flat 2D coordinate plane. This is not geographic or driving distance.\",\n    \"experience\": {\n      \"automatic\": true,\n      \"single\": false,\n      \"inputMaxLength\": 1000000,\n      \"inputMode\": \"text\",\n      \"label\": \"Your text\",\n      \"placeholder\": \"Type or paste your input…\",\n      \"help\": \"Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.\",\n      \"action\": null\n    },\n    \"mode\": \"automatic\",\n    \"interactive\": false\n  },\n  \"execution\": \"Browser interface\",\n  \"api\": null,\n  \"browser_agent\": {\n    \"supported\": true,\n    \"name\": \"run_current_tool\",\n    \"discovery\": \"WebMCP on the human page in a supporting browser\",\n    \"verification\": \"See audit/API-AUDIT.md; availability is not verification\"\n  }\n}\n```\n\n## Page guide\n\nMeasure the straight-line distance between two points.\n\nHow can we improve this tool?\n\nReport a problem or share an idea.\n\nPlease leave out private information. Your message and the tool name go to our team via PostHog.\n\n### How to use Distance formula calculator\n\n1. Enter the values you want to calculate and choose the relevant units or settings.\n2. The result updates as you type. Adjust the available settings if needed.\n3. Review the result, then use Copy result or a download link when available.\n\n## Useful next steps\n\n- [Midpoint calculator](https://happytails.ai/en/calculators/midpoint-calculator/) ([Markdown](https://happytails.ai/en/calculators/midpoint-calculator.md))\n\n- [Slope calculator](https://happytails.ai/en/calculators/slope-calculator/) ([Markdown](https://happytails.ai/en/calculators/slope-calculator.md))\n\n- [Pythagorean theorem calculator](https://happytails.ai/en/calculators/pythagorean-theorem/) ([Markdown](https://happytails.ai/en/calculators/pythagorean-theorem.md))\n\n## How to use it\n\nEnter two x-y coordinate pairs. The result uses the distance formula: square root of (x2 - x1)² + (y2 - y1)².\n\n### A worked example\n\nFrom (1, 2) to (4, 6), the horizontal difference is 3 and the vertical difference is 4. The straight-line distance is 5.\n\n### What to know\n\nUse consistent units on both axes. The result uses those same units. This is a flat-plane calculation, not driving distance or geographic distance on a globe.\n"
}