Concept:
Atomic radius depends on:
Number of electron shells
Effective nuclear charge
Across a period:
Atomic radius {decreases} from left to right
Due to increasing nuclear charge pulling electrons closer
Step 1: List elements of period 4
\[
\text{K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, As, Se, Br, Kr}
\]
Step 2: Identify the largest atomic radius
Potassium (K) is the first element of period 4.
It has the lowest effective nuclear charge in the period.
\[
\Rightarrow \text{K has the largest atomic radius}
\]
Step 3: Identify the smallest atomic radius
Atomic radius decreases continuously across the period.
Noble gases are generally excluded due to van der Waals radii considerations.
Thus, among the chemically relevant elements:
\[
\Rightarrow \text{Br has the smallest atomic radius in period 4}
\]
Step 4: Eliminate incorrect options
Option A: Se is not the smallest; Br is smaller.
Option C: Rb is not in period 4.
Option D: Na and Cl belong to period 3.
Final Answer:
\[
\boxed{\text{K and Br}}
\]