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Si el área de un círculo es [tex]144\pi[/tex] pulgadas cuadradas, entonces el diámetro de ese círculo es:

Answer :

Based on the above, the diameter of the circle is 24 cm.

What is the diameter

To find the diameter of a circle when you know its area, you can use the formula for the area of a circle:

Area (A) = π * r^2

Where:

  • A = Area
  • π (pi) is approximately 3.14159
  • r = Radius

Since the area of the circle is 144π cm².

So, one can set up an equation: 144π = π * r²

Now, divide both sides of the equation by π to isolate r²:

r² = 144

Take the square root of both sides to find the radius (r):

r = √144

r = 12 cm

The radius is 12 cm.

To find the diameter (D), simply double the radius:

D = 2 * r

= 2 * 12 cm

= 24 cm

So, the diameter of the circle is 24 cm.

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The area of ​​a circle is 144 π cm2. What is its diameter?