Respuesta :

The formula for the area of a circle is:

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

also the diameter can be written in function of the radius

[tex]D=2\cdot r[/tex]

from this equation we can find the radius

[tex]r=\frac{D}{2}[/tex]

this transforms the formula for the area into

[tex]\begin{gathered} A=\pi\cdot(\frac{D}{2})^2 \\ A=\frac{\pi}{4}\cdot D^2 \end{gathered}[/tex]

since the diameter is equal to 26cm, then the area will be

[tex]\begin{gathered} A=\frac{\pi}{4}\cdot676cm^2 \\ A=169\pi(cm^2)\approx530.93cm^2 \end{gathered}[/tex]

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