Curve Surveying Calculator

The Curve Surveying Calculator allows the calculation of curves for roundabouts, bends and corners or general highways to allow vehicles to safely transit a section of road.

Circular Curve Calculator
Deflection Angle
Curve Surveying Calculator Results
Length of Curve =
Length of Tangent =
External Distance =
Length of Long Chord =
Middle Ordinate =
Degree of Curve (Approximate) =

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

[ 71 Votes ]
Learn about curve surveying and how to use the Curve Surveying Calculator to determine curve properties such as radius, chord length, and central angle. Discover its real-life applications and understand the importance of accurate curve measurements in engineering projects.

Curve Surveying Calculator: A Comprehensive Guide

Curve surveying plays a crucial role in civil engineering projects involving roads, railways, pipelines, and other infrastructure. Accurately measuring and analyzing the properties of curves is essential for proper design, construction, and maintenance. The Curve Surveying Calculator is a valuable tool that helps engineers and surveyors calculate various parameters associated with curves, such as radius, chord length, and central angle. In this tutorial, we will explore the topic of curve surveying, discuss the formula used by the calculator, provide real-life examples of its applications, and explain how to use the calculator effectively.

Interesting Facts

Before we dive into the details of curve surveying, let's explore some interesting facts about curves and their significance in engineering:

  1. Curves are everywhere: Curves are an integral part of transportation and infrastructure networks. From highways and railway tracks to pipelines and canals, curves are used to navigate challenging terrain, accommodate changes in direction, and optimize alignment.
  2. Curves and safety: Properly designed curves enhance safety by providing smooth transitions and reducing driver discomfort. By understanding the properties of curves, engineers can create roadways with appropriate banking, sight distance, and superelevation, ensuring safe and comfortable travel.
  3. Curve types: Curves can take different forms, including circular curves, spiral curves, and compound curves. Each type serves a specific purpose, and understanding their characteristics is vital for efficient design and construction.

The Formula

The Curve Surveying Calculator utilizes the formula to calculate various curve properties. Let's break down the components of the formula:

  • Radius (R): The radius represents the curvature of the curve and is a fundamental parameter in curve surveying. It is measured in units of length (e.g., meters, feet). The radius determines the size of the circle that best approximates the curve.
  • Chord Length (C): The chord length is the straight-line distance between the curve's endpoints. It is measured along the arc of the curve and is also expressed in units of length. The chord length provides a reference for measuring other curve properties.
  • Central Angle (θ): The central angle is the angle subtended by an arc of the curve at the center of the circle. It is measured in degrees or radians and represents the extent of the curve. The central angle is crucial for determining the curve's geometry.

The formula used to calculate these parameters depends on the type of curve being analyzed. Circular curves, spiral curves, and compound curves have their specific formulas, which take into account additional factors such as deflection angles and tangent offsets. The Curve Surveying Calculator handles these variations and provides accurate results based on the input parameters.

Formula: R = C² / (8 × S)


  • R = Radius
  • C = Chord Length
  • S = Sagitta (Vertical Distance between the Chord and the Curve)

Real-Life Applications

The Curve Surveying Calculator has numerous applications in engineering and surveying projects. Here are a few examples:

  1. Highway Design: When designing highways, engineers must carefully plan and lay out curves to ensure safe and efficient transportation. The calculator helps determine curve properties such as radius and chord length, enabling engineers to design appropriate road alignments, banking, and superelevation.
  2. Railway Track Design: Curve surveying is crucial in railway track design to ensure smooth transitions between straight sections and curved sections. The calculator assists in calculating the necessary curve parameters to establish safe and reliable railway tracks.
  3. Pipeline Alignment: Curved pipelines are often required to navigate obstacles or follow the natural terrain. By using the Curve Surveying Calculator, engineers can accurately determine the appropriate curve properties for pipeline alignment, ensuring efficient flow and structural integrity.
  4. Road Construction: During road construction, the calculator helps in setting out and controlling the curves along the road alignment. It allows engineers to verify the accuracy of the curves and ensure they meet the specified design criteria.

These are just a few examples of how the Curve Surveying Calculator is applied in real-life engineering projects. Its ability to quickly and accurately calculate curve properties saves time and effort, enabling engineers and surveyors to make informed decisions during the design, construction, and maintenance stages.


Curve surveying is an essential aspect of civil engineering, particularly in projects involving roadways, railways, pipelines, and other infrastructure. The Curve Surveying Calculator provides a convenient and reliable tool for calculating curve properties such as radius, chord length, and central angle. By utilizing this calculator, engineers and surveyors can ensure accurate measurements, optimize design decisions, and enhance the safety and efficiency of transportation systems. Whether it's designing highways, setting out railway tracks, or aligning pipelines, the Curve Surveying Calculator is a valuable asset in the field of engineering.