Respuesta :

so hmm notice the picture below

simply get the area of the segment, and subtract it from the area of the circle, what's left, is the difference

notice your circle, has a radius "r" of 18
Ver imagen jdoe0001

Answer:

Hence, Total area of shaded region=  (243π+162)  ft²

Step-by-step explanation:

Area of shaded region can be calculated as

  Area of right triangle + area of the circle below the right triangle

Area of circle=πr²  (360° is covered)

360°-90°=270°

i.e.    (270÷360)°= 3/4 part of the circle is covered

So, area of circle below the right triangle=  3×π×18×18/4

                                                                   =  243π

area of right triangle=  base×height/2

                                =   18×18/2

                               =   162  

Hence, total area of shaded region=  (243π+162)  ft²

Hence, option A is correct.  

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