Respuesta :

gmany

Answer:

30 mm

Step-by-step explanation:

The formula of an area of a circle:

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

r - radius

We have

[tex]A=706.9\ mm^2[/tex]

Substitute:

[tex]\pi r^2=706.9[/tex]          divide both sides by π

[tex]r^2=\dfrac{706.9}{\pi}[/tex]        use π ≈ 3.14

[tex]r^2\approx\dfrac{706.9}{3.14}\\\\r^2\approx225\to r=\sqrt{225}\\\\r= 15\ mm[/tex]

The diameter d = 2r.

Therefore

[tex]d=2(15)=30\ mm[/tex]

Answer:

30mm

Step-by-step explanation:

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

Substitute 706.9 for A and [tex]\pi[/tex] for 3.14

706.9= 3.14[tex]r^{2}[/tex]             divided both sides by 706.9

when you divided 3.14 by 3.14 it will cross and when you divide 706.9 by 3.14 it will give you 225.

[tex]\sqrt{225}[/tex]

15 times 15 is 225

radius= 15

d=2r

multiply 15 by 2

the answer is 30.

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