To find the distance \(R\) of the target using radar signals, we must understand how radar systems typically operate. Radar systems emit signals that travel to a target and reflect back. The time taken for the signal to travel to the target and return is called the round trip time, \(t\). The relationship between the distance \(R\), the speed of the signal \(C\) (which is the speed of light in a vacuum, approximately \(3 \times 10^8 \, \text{m/s}\)), and the round trip time \(t\) is given by:

\(R = \frac{C \times t}{2}\)

This formula accounts for the fact that the radar signal travels to the target and back again, hence the factor of 2 in the denominator. This means the distance to the target is half the product of the speed of the signal and the round trip time.

Now, let's evaluate each option:

1. Option 1: \(R = \frac{C \times T}{2}\) - This option is correct as it correctly applies the formula for calculating the distance to the target.
2. Option 2: \(R = \frac{C \times T}{4}\) - This option incorrectly divides by 4, which is inappropriate for radar distance calculations.
3. Option 3: \(R = \frac{C \times T}{3}\) - This option also incorrectly divides by 3, making it inappropriate.
4. Option 4: \(R > \frac{C \times T}{2}\) - This suggests the distance is greater, which is incorrect. The formula directly gives the actual distance.

Therefore, the correct answer is option 1: \(R = \frac{C \times T}{2}\). This reflects the standard formula for determining the range to a target using radar signals based on the round trip time.