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Veronika [31]
3 years ago
8

*20 points*

Mathematics
2 answers:
ioda3 years ago
5 0
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

mario62 [17]3 years ago
3 0

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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Answer:  The area of the parallelogram is:
_______________________________________________________
\frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
 A = base * height = b * h ;

From the figure (from the actual "question"):
_______________________________________
         b = 50.5 in.

         h = 23.25 in.
____________________________________________________________
Method 1)  A = b * h =
                 
                     =  (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as:  1174 <span>⅛ .
</span>____________________________________________________________
Method 2)  A = b * h =
             
                      =  (50 ½ in) * (23 <span>¼ in) =
   
                      =    (</span>\frac{101}{2} in) * (\frac{93}{4}<span> in) ;
</span>___________________________________________________________
Note:  "50 ½ " = [(50*2) + 1 ] / 2  = \frac{101}{2} ;

Note:  "23 ¼ " = [(23*4) + 1 ] / 4  = \frac{93}{4} ;
____________________________________________________________
→  A =  (\frac{101}{2} in) * (\frac{93}{4} in) ;
 
→  A = \frac{(101*93)}{(2*4)}  in² = \frac{9393}{8}  in² ; 
          
→  A = (9393/8) in² =  
         
→  A  = \frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
________________________________________________________
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