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The area (A) of a circle with a radius of r is given by the formula A=3.14r^2 and its diameter (d) is given by d=2r. Arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.

Respuesta :

calculista

Answer:

[tex]D=2\sqrt{\frac{A}{3.14}}[/tex]

Step-by-step explanation:

we know that

The area of a circle is

[tex]A=3.14r^{2}[/tex] ----> equation A

The diameter of a circle is

[tex]D=2r[/tex] ----> equation B

Solve for r in the equation A

That means ---> isolate the variable r

Divide by 3.14 both sides

[tex]\frac{A}{3.14}=r^{2}[/tex]

take the square root both sides

[tex]\sqrt{\frac{A}{3.14}}=r[/tex]

Rewrite

[tex]r=\sqrt{\frac{A}{3.14}}[/tex]

Substitute the value of r in the equation B

[tex]D=2\sqrt{\frac{A}{3.14}}[/tex]

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