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The radius of the larger circle is 10 cm. The radius of the smaller circle is 3 cm. What is the approximate area of the shaded region?



The large shaded circle containing a smaller white circle inside the larger circle.



Question options:




70.7 square centimeters




86.5 square centimeters




102.4 square centimeters




285.74 square centimeters

Respuesta :

calculista

Answer:

[tex]285.74\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the smaller circle

so

[tex]A=\pi 10^{2} -\pi 3^{2}=\pi(10^{2}-3^{2})=91\pi\ cm^{2}[/tex]

[tex]91\pi\ cm^{2}=91(3.14)=285.74\ cm^{2}[/tex]

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