adinacaicedo05
adinacaicedo05 adinacaicedo05
  • 28-03-2019
  • Mathematics
contestada

The area of a circle is 615.44 in2. What is the diameter of the circle? Use 3.14 for π.

Respuesta :

gmany
gmany gmany
  • 29-03-2019

Answer:

[tex]\large\boxed{C=87.92\ in}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

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

r - radius

We have A = 615.44 in². Substitute:

[tex]615.44=\pi r^2[/tex]

[tex]\pi\approx3.14[/tex]

[tex]3.14r^2=615.44[/tex]          divide both sides by 3.14

[tex]r^2=196\to r=\sqrt{196}\\\\r=14\ in[/tex]

The formula of a circumference of the circle:

[tex]C=2\pi r[/tex]

Substitute:

[tex]C=2\pi\cdot14=28\pi\approx28\cdot3.14=87.92\ in[/tex]

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