Degrees to Inches Calculator

Convert angular measurements in degrees to linear distances in inches. This calculator can be used to determine the linear distance across an arc of a circle or other applications requiring angular to linear conversion.

Input Parameters

Calculation Results

Calculation Formula

S = r × θ × (π/180°)

Where:
S = arc length (inches)
r = radius (inches)
θ = central angle (degrees)
π = 3.141592653589793

Degrees to Inches Calculator Calculator Usage Guide

Learn how to use the Degrees to Inches Calculator calculator and its working principles

How to Use This Calculator

  1. Enter the radius of the circle in inches (e.g., 10 inches).
  2. Enter the central angle in degrees that subtends the arc (e.g., 30 degrees).
  3. Click the "Calculate" button to compute the arc length.
  4. The result will be displayed in inches.

Principle of Calculation

This calculator uses the formula for calculating the arc length of a circle:

S = r × θ × (π/180°)

Where:

  • S is the arc length in inches
  • r is the radius of the circle in inches
  • θ is the central angle in degrees
  • π is the mathematical constant Pi (approximately 3.14159)

Example

If you have a circle with a radius of 10 inches and a central angle of 30 degrees, the arc length would be:

S = 10 × 30 × (π/180) ≈ 5.23599 inches

Applications

This calculator can be used in various fields including:

  • Engineering and construction
  • Surveying and mapping
  • Manufacturing and fabrication
  • Astronomy for calculating planetary distances
  • Robotics for motion planning