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# geo problem

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Find the area and the perimeter of the shaded regions below.

Aug 4, 2020

#1
+32709
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TWO triangle hypotenuses      find via pythag theorem

h^2 = 4^2 + 10^2        solve for h    rememeber: there are 2

semicircle perimeter =   1/2  pi d   = 1/2 pi * 8         add them together

Aug 4, 2020
#2
+1164
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AREA:   10*8/2 for the area of the triangle and π4^2 so we add them up in a equation to get that the area 80/2+π4^2=40+16π so the area of the shaded region is 40+16π or $$\boxed{40+16π}$$

Circumfrence=8π/2 for the rounded part and 2*(sqrt(10^2+(8/2)^2)) again we make them into an equation 4π+2*(sqrt(10^2+4^2))=4π+2*(sqrt(116)) then we simplify it to get 4π+4*(sqrt(29)) or $$4π+4\sqrt{29}$$

Aug 4, 2020