Calculatrice de degrés en pouces

A Calculatrice de degrés en pouces converts an angular measurement in degrees into a linear distance in inches along a circular arc. This conversion is essential in engineering, construction, machining, and automotive design, where precise curved des mesures sont nécessaires.

Importance of Degrees to Inches Conversion:

• Used in Engineering & Machining: Helps in cutting and shaping curved materials.
• Essential for Construction & Roadway Design: Converts angular measurements into real-world distances.
• Important in Automotive & Aerospace: Determines curved surface dimensions accurately.
• Applied in Robotics & Motion Control: Ensures precision in rotational movements.

Formula of Degrees to Inches Calculator

La conversion de degrees to inches Depend de radius (r) of the circular arc and follows this formula:

Inches = (Degrees / 360) × (2πr)

Où :

• Degrés = Angle in degrees.
• r = Radius in inches.
• π ≈ 3.1416.
• 360 ° represents a full circle.

Cette formule calcule le arc longueur, which is the linear distance covered along a circular path.

Degrees to Inches Reference Table

The table below provides pre-calculated values for common degree-to-inch conversions with a 10-inch radius:

Degrés	Arc Length (Inches) (r = 10")
1 °	0.1745
5 °	0.8727
10 °	1.7453
15 °	2.6180
30 °	5.2360
45 °	7.8540
60 °	10.4720
90 °	15.7080
180 °	31.4160
360 °	62.8320

This table allows for quick reference and application in real-world scenarios.

Example of Degrees to Inches Calculator

Supposons un ingénieur automobile needs to calculate the longueur de l'arc d'un 60-degree turn on a steering wheel with a rayon de 15 pouces.

Étape 1 : appliquer la formule

Inches = (60 / 360) × (2 × 3.1416 × 15)

Étape 2 : Résoudre l’équation

Inches = (60 / 360) × (94.2480)
Inches = 0.1667 × 94.2480 = 15.71 pouces

Ainsi, un 60-degré de rotation sur un 15-inch radius results in an arc length of 15.71 pouces.

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