Grad To Radian Converter

(rad converter)

Convert Grad to Radian

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Effortlessly Convert Grads to Radians with Our Precision Tool


(Last Updated On: 2024-04-02)

Discover seamless conversion from grads to radians using Newtum's state-of-the-art converter. This page is a gateway to accurate and effortless grad-to-rad calculations, sparking your curiosity to explore more.

What are Grad and Radian

Definition of Grad

A grad, also known as a gon or grade, is a unit of measure for angles, where one grad is defined as one-hundredth of the right angle. It is part of a metric system of measuring angles, unlike degrees, which are derived from the historical division of a circle. Essentially, a full circle consists of 400 gradians, making the grad a useful unit in fields that require high precision.

Definition of Radian

A radian is a unit of angular measure in the International System of Units (SI). One radian is the angle created when the arc length is equal to the radius of the circle. Essentially, the measure of a radian is universal as it is based on the radius and circumference of a circle. There are approximately 6.28318 (2π) radians in a full circle, making radians a fundamental unit in mathematics and physics.

Grad to Radian Conversion Table

Grad Radian (rad)
10 0.15708
20 0.31416
30 0.47124
40 0.62832
50 0.78540
60 0.94248
70 1.09956
80 1.25664
90 1.41372
100 1.57080

Conversion of Grad to Radian

1 grad = 0.015708 rad
1 rad = 63.662 grads

Example 1:
convert 100 grads to radians:
100 grads = 100 × 0.015708 rad ≈ 1.5708 rad

Example 2:
convert 50 grads to radians:
50 grads = 50 × 0.015708 rad ≈ 0.7854 rad

History of Grad and Radian

The conversion from grads to radians represents a bridge between two systems of angular measurement. The gradian, which divides a right angle into 100 units, was introduced as part of the metric system. Conversely, the radian, which is based on the radius of a circle, became the SI unit for angles. The grad to radian converter emerged as an essential tool for mathematicians, scientists, and engineers to transition between these units.

How to use Grad to Radian Converter

Real Life Applications of Grad to Radian

Explore the intersection of theory and practice with our Grad to Radian Converter, a tool pivotal in various real-world applications.

Solved Examples rad

Example 1:
Convert 200 grads to radians:
200 grads = 200 × 0.015708 rad ≈ 3.1416 rad

Example 2:
Convert 300 grads to radians:
300 grads = 300 × 0.015708 rad ≈ 4.7124 rad

Frequently Asked Questions

1. What is a grad in measurement?
A grad is a unit of angle in the metric system where a right angle is divided into 100 units.

2. How is radian defined?
A radian is the angle subtended at the center of a circle by an arc whose length is equal to the circle's radius.

3. Can I convert gradians to degrees using this tool?
Yes, this converter is designed to convert between gradians and radians, and indirectly to degrees.