# Homework Help: Question on angular spread

1. Dec 18, 2012

### Biosyn

1. The problem statement, all variables and given/known data

I just have a question on finding the area of a receiving antennae. The answer says the area is about 1km. I got an answer close to 1 km.

λ = 5*10-2 m
d = 3*103 m

The angular spread is θ = λ/d

θ= $\frac{5*10-2}{3*103}$

The spatial spread is the diameter of the beam on the target. So that means it is the angular spread times the distance the beam travels. Correct?

S = r*θ
S = (5*10^7 m ) * θ
S ≈ 1 km

The area of the receiving antennae is them [1km / 2 ]2 * ∏ = 0.78km which is about 1 km.

2. Dec 19, 2012

### haruspex

The S ≈ 1 km approximation is rather rough. 830m is closer, and that leads to a final answer of about .54 km2 (note: km2, not km). This suggests you have an error somewhere else, but I'm not qualified to say where.