Respuesta :

Mickeym175

Answer:

[tex]8.4[/tex] mm

Step-by-step explanation:

Area of a circle formula is [tex]A=\pi r^2[/tex]

So we fill in what we know

[tex]56=\pi r^2[/tex]

Divide both sides by pi

[tex]17.8253536263=r^2[/tex]

Square root both sides

4.22200824561 = r

Now we found the radius but we need the diameter so we multiply by 2 and round

[tex]8.4[/tex]

I hope this helps

Answer:

8.4mm

Step-by-step explanation:

[tex]A=\pi r^2=\dfrac{\pi D}4[/tex]

Solving for D.

[tex]A=\dfrac{\pi D^2}{4}\implies4A=\pi D^2\implies \dfrac{4A}{\pi}=D^2\implies D=\sqrt{\dfrac{4A}{\pi}}=2\sqrt{\dfrac{A}{\pi}}[/tex]

The area is 56mm². Plug it in:

[tex]D=2\sqrt{\dfrac{56}{\pi}}\approx 8.4\text{mm}[/tex]

Otras preguntas