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Find the total area of the figure where A is the center and PA = 8in. Leave answer in terms of pi



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please help i have to do well on this quiz

Find the total area of the figure where A is the center and PA 8in Leave answer in terms of pi NO LINKS MFS please help i have to do well on this quiz class=

Respuesta :

Answer:

[tex]48\pi[/tex]

Step-by-step explanation:

The figure is 270 degrees. A circle is 360 degrees and 270 is only 75% of this. Very important.

PA is the radius, so it is 8 inches.

Formula for area of a circle: [tex]A = \pi r^2[/tex]

Solve for the area of the whole circle:

[tex]A = \pi (8)^2 = 64\pi[/tex]

Since the circle is only 75%, that is 0.75

Multiply full area by 0.75 to get 75% of the area.

[tex]64\pi *0.75 = 48\pi[/tex]

Hope this answer helped! :)