Respuesta :

whitneytr12

Answer:

the diameter will be D=26 in.

Step-by-step explanation:

The area of a circle is given by:

[tex]A=\pi R^{2}[/tex] (1)

Where:

  • A is the area
  • R is the radius of the circle

Now, we know that A = 169 π in²

So, we just need to use equation 1 to find R.

[tex]169\pi = \pi R^{2}[/tex]

[tex]R=\sqrt{169}[/tex]

[tex]R=13 \: in[/tex]

Therefore, the diameter will be D=2*R=26 in.

I hope it helps you!

MrRoyal

The diameter of the circle is 26 inches

The area of the circle is given as:

[tex]A = 169\pi[/tex]

The area of a circle is calculated as:

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

By comparison, we have:

[tex]\pi r^2 = 169\pi[/tex]

Divide both sides of the equation by pi

[tex]r^2 = 169[/tex]

Take the positive square roots of both sides

[tex]r = 13[/tex]

Multiply by 2, to calculate the diameter

[tex]d =2 * 13[/tex]

[tex]d = 26[/tex]

Hence, the diameter of the circle is 26 inches

Read more about diameter at:

https://brainly.com/question/15673093

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