Respuesta :

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\\\\ -------------------------------\\\\ \textit{now, we know that }\pi r=9.42\impliedby \textit{let's square both sides} \\\\\\ (\pi r)^2=(9.42)^2\implies (\pi ^2r^2)=9.42^2\implies \pi \pi r^2=9.42^2 \\\\\\ \stackrel{area}{\pi r^2}~~=~~\cfrac{9.42^2}{\pi }[/tex]

Step-by-step explanation:

Consider the provided information.

It is given that she knows [tex]\pi \times r = 9.42[/tex]

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

Now consider the provided  information.

[tex]\pi \times r = 9.42[/tex]

Step 1:

Squaring both sides.

[tex](\pi \times r)^2 = (9.42)^2[/tex]

[tex]\pi \times \pi \times r^2 = (9.42)^2[/tex]

Step 2:

Now divided both the sides by π.

[tex]\pi r^2 = \frac{(9.42)^2}{\pi}[/tex]

[tex]A=\pi r^2 = \frac{(9.42)^2}{\pi}[/tex]

Hence, by following the above steps she can find the area of circle.

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