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find the area of the shaded region of the large circle. give your answer to 1 decimal place.

Find The Area Of The Shaded Region Of The Large Circle Give Your Answer To 1 Decimal Place class=

Sagot :

Answer:

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

so the area of the circle is

[tex]8^{2} \pi[/tex] which equals 64pi

BUT we have the white circles so we need to find their areas and subtract it

THE WHITE CIRCLES:

diameter = 4 so radius = 2

[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]

which you double since theres TWO white circles so = [tex]8\pi[/tex]

so 64[tex]\pi -8\pi =56\pi[/tex]

[tex]56\pi =175.00[/tex]