Tangent Lines to Circles Calc vs Circular Corner Calculator Usage & Stats
Tangent Lines to Circles Calculator are mathematics calculator to find angles and the length of two lines that are tangent to a circle fast and easy.
Features:
• Instant calculation.
• The result is copy able to another app.
• The formula is included as reference.
• Support up to 16 decimal places.
• Support various unit for each input.
Two congruent right triangles are formed, since the tangent line is perpendicular to the radius.
So line AB has the same length as line BC.
And the radius AD has the same length as DC.
∠ABC Angle x° = 180° - Angle y°, or
∠ADC Angle y° = 180° - Angle x°
Formula:
Pythagorean theorem
DB = √AD² + AB²
sin (x/2) = DA / DB
cos (x/2) = AB / DB
tan (x/2) = DA / AB
Inputs:
1. Angle [x°]
2. Angle [y°]
3. Length [AD][DC]
4. Length [AB][BC]
5. Length [DB]
Quick Guide:
Clear the input and at least key in these two parameters to get results:
1 & 3 Angle [x°] & Length [AD][DC]
1 & 4 Angle [x°] & Length [AB][BC]
1 & 5 Angle [x°] & Length [DB]
2 & 3 Angle [y°] & Length [AD][DC]
2 & 4 Angle [y°] & Length [AB][BC]
2 & 5 Angle [y°] & Length [DB]
3 & 4 Length [AD][DC] & Length [AB][BC]
3 & 5 Length [AD][DC] & Length [DB]
4 & 5 Length [AB][BC] & Length [DB]
Tangent lines to circles. In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
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Calculations at a circular corner. Here, a circular corner is a right triangle, whose acute vertices are laid on a circle, so that the right angle is outside of that circle. The resulting circular segment is subtracted from the triangle. Enter two of the three lengths of the right triangle a, b and s, as well as the circle radius r. The radius must be larger than the chord length s. Choose the number of decimal places, then click Calculate. The angle is calculated and displayed in degrees.
Calculations at a round corner, or rather in a quarter circle, the most simple form of a round corner. This is the intersecting set of a square with edge length a and a circle with radius a, where one corner of the square is at the center of the circle. The missing piece, the part of the square outside the quarter circle, is also called spandrel. Enter one value and choose the number of decimal places.
- Apple App Store
- Paid
- Utilities
Store Rank
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Tangent Lines to Circles Calc VS. 
Circular Corner CalculatorDecember 15, 2024