contestada

A circle with a radius of 3cm sits inside a circle with a radius of 11cm. What is the area of the shaded region? Round your answer to the nearest 100th. NOTE: The larger circle is shaded ( the smaller circle isnt )

Respuesta :

calculista

Answer:

[tex]A=351.68\ cm^2[/tex]

Step-by-step explanation:

we know that

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

so

[tex]A=\pi(r_b^2-r_a^2)[/tex]

we have

[tex]r_b=11\ cm[/tex] ----> radius of large circle

[tex]r_a=3\ cm[/tex] ----> radius of smaller circle

assume

[tex]\pi=3.14[/tex]

substitute

[tex]A=3.14(11^2-3^2)=351.68\ cm^2[/tex]

Otras preguntas