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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.

Respuesta :

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:

[tex]y \propto x[/tex]

then the equation is in the form of:

[tex]y = kx[/tex]

where, k is the constant of variation

Given the equation:

[tex]A = \pi r^2[/tex]

Here,  [tex]\pi[/tex] is constant in the equation.

By above definition we have;

[tex]A \propto r[/tex]

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

A varies directly with r.

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