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A graphic design agency is making logos of different sizes for a company. The logo consists of a square and two semicircles. (see the picture).Find the sides of the square and radii if the corresponding areas of logos of different sizes are 9 in^2,20in^2,25in^2,36in^2, and 64in^20. Round your answer to the nearest tenth.

 Sep 30, 2023
 #1
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Total area = pi r^2 + (2r * 2r)      ( rememeber the sides of the square = 2r )

The area =  pi  r^2  +  (2r)^2   =  (pi +4) r^2  =  7.142 r^2

   

    Then  solving for 'r'  =====>   sqrt (area/7.142) = r

                  First one:  area = 9

                                      r = sqrt ( 9 / 7.142) = 1.1  in

                                         square side = 2r = 2.2 in         ( rounded answers)

                 second one:  area 20 in^2

                               r = sqrt ( 20 / 7.142) =.......     etc

I'll let you do the others...

 Oct 3, 2023

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