the square area is 4x4 is 16
each semicircle has a diameter of 4cm.
area of a semicircle is pi * r^2/2
3.14*2^2/2=6.28
since there are 45 sides of a square, 6.28x3=18.84
add 18.84 and 16.
34.84 is your answer.
The area of the composite figure which consist 3 semicircles and a square with 4 centimeters is (6π+16) cm².
The area of the semicircle is the space occupied by it. It can be given as,
[tex]A_s=\dfrac{d^2}{8}\pi[/tex]
Here, (d) is the diameter of the semicircle.
Each side of the square measures 4 centimeters. The area of the square is square of its side. Thus,
[tex]A_s=4^2\\A_s=16\rm\; cm^2[/tex]
3 semicircles are connected to 3 sides of a square. Thus, the diameter of the semicircle is equal to 4 cm. The area of 3 semicircles is,
[tex]A_{sc}=3\times\dfrac{(4)^2}{8}\pi\\A_{sc}=6\pi[/tex]
The area of the composite figure is,
[tex]A=A_s+A_{sc}\\A=16+6\pi\\A_s=(6\pi+16)\rm\; cm^2[/tex]
Thus, the area of the composite figure which consist 3 semicircles and a square with 4 centimeters is (6π+16) cm².
Learn more about the area of the circle here;
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