Respuesta :

chetankachana

Answer:

172.03 m²

Step-by-step explanation:

Hello!

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

  • A = area
  • π = pi
  • r = radius

Plug in the radius into the formula to find the area.

Find the Area

  • [tex]A = \pi r^2[/tex]
  • [tex]A = \pi (7.4)^2[/tex]
  • [tex]A = 54.76\pi[/tex]
  • [tex]A = 172.0336137106 \approx 172.03[/tex]

The area is approximately 172.03 m².

To calculate the radius of this circle, we must take into account that:

Data:

  • R = 7.4
  • π = 3.14

To calculate the area of the circle, we apply the following formula:

  • A = π * r², where

a = area

π = pi

r = radius

Substituting the values of the equation:

  • [tex]\large\displaystyle\text{$\begin{gathered}\sf A=3.14*(7.4 \ m)^{2} \end{gathered}$}[/tex]

Taking the square root

  • [tex]\large\displaystyle\text{$\begin{gathered}\sf A=3.14*54.76 \ m^{2} \end{gathered}$}[/tex]

Multiplying

  • [tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf A=171.95 \ m^{2} \end{gathered}$}}[/tex]

Answer: The approximate area of the circle is 171.95 m².

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