Which of the following correctly describes the variation in the equation A = πr2?
 1. A varies directly with r.
 2. A varies jointly with π and r.
 3. A varies inversely with r.
 4. A varies directly with π and r.

Verified Answer :

The answer is A because A varies directly with the radius.

Answer:

Option 1 is correct

A varies directly with r.

Step-by-step explanation:

The direct variation says that:

\(y \propto x\)

then the equation is in the form of:

\(y = kx\)

where, k is the constant of variation

Given the equation:

\(A = \pi r^2\)

Here,  \(\pi\) is constant in the equation.

By above definition we have;

\(A \propto r\)

Therefore, the following correctly describes the variation in the given equation  is,

A varies directly with r.