Final answer:
The symbolic expression representing the statement that the area of a circle is proportional to the square of its radius is (B) A∝r^2, as the formula for the area of a circle is A = πr^2.
Step-by-step explanation:
The symbolic expression that represents the statement "The area (A) of a circle is proportional to the square of its radius (r)" is (B) A∝r2. This is because the area of a circle is calculated using the formula A = πr2, where π is approximately 3.14159. This demonstrates that the area is directly proportional to the square of the radius, as doubling the radius will quadruple the area, reflecting the proportionality of A to r2.