Find the Domain a=3.14r^2

Problem

a=3.14*r2

Solution

1. Identify the variables in the equation, where a represents the area of a circle and r represents the radius.

2. Determine the physical constraints of the independent variable r noting that the radius of a geometric shape must be a non-negative value.

3. Analyze the mathematical expression 3.14*r2 which is a polynomial defined for all real numbers.

4. Combine the mathematical definition with the physical context to conclude that r must be greater than or equal to zero.

Final Answer

Domain:{r∈ℝ|r≥0}

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