Question

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.

Answer 1

Answer:

$D=2\sqrt{\frac{A}{3.14}}$

Step-by-step explanation:

we know that

The area of a circle is

$A=3.14r^{2}$ ----> equation A

The diameter of a circle is

$D=2r$ ----> equation B

Solve for r in the equation A

That means ---> isolate the variable r

Divide by 3.14 both sides

$\frac{A}{3.14}=r^{2}$

take the square root both sides

$\sqrt{\frac{A}{3.14}}=r$

Rewrite

$r=\sqrt{\frac{A}{3.14}}$

Substitute the value of r in the equation B

$D=2\sqrt{\frac{A}{3.14}}$