Secant-Tangent Length
Tangent length from the power of a point
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Working out tangent length from the power of a point is easier with Secant-Tangent Length, which answers as you type. Just enter External Secant Segment and Secant Inside Circle; Secant-Tangent Length updates the result as you type. Every Secant-Tangent Length answer can be reproduced by hand. Secant-Tangent Length suits budgeting and planning checks. No account is needed for Secant-Tangent Length. The browser does the arithmetic. Secant-Tangent Length is part of the Math collection on CalcProMaster, alongside secant tangent calculator power of a point circle geometry, free online secant-tangent length calculator and more. Secant-Tangent Length goes from question to answer fast. Secant-Tangent Length is free, instant and local.
What does the Secant-Tangent Length do?
Secant-Tangent Length works out the tangent length from the External Secant Segment and Secant Inside Circle, using Math conventions. With the defaults, secant-tangent length gives a tangent length of 6.
- Inputs: External Secant Segment and Secant Inside Circle.
- Output: the tangent length, and the operations that led to it.
- Method: the Math formula, applied to External Secant Segment and Secant Inside Circle inside the browser tab.
Quick answer
secant-tangent length returns a tangent length of 6 with the default inputs (external secant segment of 4, secant inside circle of 5).
How does the Secant-Tangent Length work?
Secant-Tangent Length computes the tangent length directly from your inputs — the External Secant Segment and Secant Inside Circle feed the formula. The tangent length is worked out on the device, so nothing about your inputs is transmitted.
How it works
Use Secant-Tangent Length when the tangent length needs to be right the first time: it evaluates your inputs against the standard Math method and shows the working, not just the answer.
How to use it
- External Secant Segment — a core secant-tangent length input applied directly — keep its units consistent with the label.
- Secant Inside Circle — one of the values secant-tangent length builds from; the tangent length reflects exactly what you type.
- When the output on secant-tangent length looks plausible but not quite right, check the units line first — a scale error shows up there before anywhere else.
- Nudge each External Secant Segment and Secant Inside Circle on the secant-tangent length page in turn and note how far the output moves; the ranking rarely matches intuition.
The formula behind the result
The engine behind Secant-Tangent Length evaluates the inputs in a single pass — no hidden iterations or adjustments — so the tangent length you see is exactly what the formula produces for the values you entered.
Worked example: with external secant segment of 4, secant inside circle of 5, this secant-tangent length calculation returns Tangent length: 6. The same run reports Power of a point: tangent² = external × whole secant = 4 × 9 = 36; the tangent segment is the geometric mean.
The steps it follows:
- Formula: t² = s(s + e)
- Whole secant = 4 + 5 = 9
- t = √(4 × 9) = 6.0000
Understanding the result
Work upward from the step list on the secant-tangent length page and stop when the figures stop surprising you; that is the row your error is on.
Where it helps
Secant-Tangent Length suits planning a purchase, trying the same numbers twice, and spot-checking a quoted figure — the kind of question that arrives once a week and deserves a defensible number.
Common mistakes
Skipping the External Secant Segment and Secant Inside Circle because it looked optional is common, yet on Secant-Tangent Length an empty-looking field still feeds the tangent length.
Tip: Secant-Tangent Length returns Tangent length: 6 at its defaults; double the External Secant Segment and it returns Tangent length: 10.198.
Assumptions and limitations
Secant-Tangent Length answers the arithmetic and stops there — it cannot tell whether the External Secant Segment and Secant Inside Circle you supplied describe a realistic case.
Why use this calculator
Because nothing is stored server-side, there is no history to clear and no account to close after using Secant-Tangent Length.
Frequently Asked Questions
Which figure does secant-tangent length produce?
Every run of Secant-Tangent Length evaluates the External Secant Segment and Secant Inside Circle you enter, applies the standard Math formula, and reports the result with each step listed for review. Because the secant-tangent length page shows its assumptions rather than burying them, you can see which ones your own case breaks.
How is the result calculated?
The first steps are formula: t² = s(s + e), then whole secant = 4 + 5 = 9. The formula in Secant-Tangent Length operates on the values exactly as entered; keeping the units shown in each label is what makes the figure trustworthy.
What should I have ready for Secant-Tangent Length?
Secant-Tangent Length needs External Secant Segment and Secant Inside Circle and nothing else.
What if the External Secant Segment were twice as large?
At the defaults Secant-Tangent Length returns Tangent length: 6; doubling External Secant Segment to 8 moves it to Tangent length: 10.198.
What does the result from the Secant-Tangent Length tell you?
The main number the secant-tangent length returns is the tangent length for your exact inputs. Extreme External Secant Segment and Secant Inside Circle produce an arithmetically valid tangent length that may be meaningless in practice, and the step list is the fastest way to notice.
What is the page best used for?
Typical moments for the secant-tangent length page: planning a purchase, trying the same numbers twice, and spot-checking a quoted figure, or a quick check before a figure goes into a document. Run Secant-Tangent Length twice with deliberately low and high inputs; the spread tells you how sensitive the output is, which a single run never shows.
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