Enter all but one of the transmitted power, transmitting antenna gain, receiving antenna gain, wavelength, radar cross-section, distance between the radar and the target, and system loss factor into the calculator to determine the radar range.

## Radar Range Formula

The following formula is used to calculate the radar range:

R = sqrt((P_t * G_t * G_r * L^2 * sigma) / (4 * pi^3 * R^4 * L))

Variables:

- R is the radar range
- P_t is the transmitted power
- G_t is the transmitting antenna gain
- G_r is the receiving antenna gain
- lambda is the wavelength of the radar signal
- sigma is the radar cross-section of the target
- R is the distance between the radar and the target
- L is the system loss factor

To calculate the radar range, multiply the transmitted power, transmitting antenna gain, receiving antenna gain, wavelength squared, radar cross-section, and system loss factor. Divide the result by 4 times pi cubed times the distance between the radar and the target raised to the power of 4. Take the square root of the quotient to obtain the radar range.

## What is a Radar Range?

A radar range is a term used in radar technology to denote the maximum distance at which a radar system can reliably detect and track a target. This range is determined by several factors including the power of the transmitted signal, the size and shape of the target, the sensitivity of the radar receiver, and the characteristics of the environment, such as weather conditions and the presence of other objects that might cause interference. The radar system works by emitting radio waves and then measuring the time it takes for the waves to bounce back after hitting an object. By calculating the time delay between the transmitted and received signal, the radar system can determine the distance to the target. The radar range is a critical parameter in the design and operation of radar systems, influencing their effectiveness in applications such as air traffic control, weather forecasting, and military surveillance.

## How to Calculate Radar Range?

The following steps outline how to calculate the Radar Range.

- First, determine the wavelength (λ) of the radar signal in meters.
- Next, determine the speed of light (c) in meters per second.
- Next, gather the formula from above = Range = (c * Δt) / 2.
- Finally, calculate the Radar Range.
- After inserting the variables and calculating the result, check your answer with the calculator above.

**Example Problem : **

Use the following variables as an example problem to test your knowledge.

wavelength (λ) = 0.03 meters

speed of light (c) = 3 x 10^8 meters per second