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What is the area of the shaded region in the figure below? Use 3.14 for pie

What Is The Area Of The Shaded Region In The Figure Below Use 314 For Pie class=

Sagot :

jcherry99

Answer:

200.96 = area of Shaded portions.

Step-by-step explanation:

Area of the 2 stars.

I don't know if you can see this or not, but the 4 quarter circles surrounding the star is found by subtracting a full small square surrounding the star

Area of 1 star = 4 * (1/4) pi * r^2

Area of 1 star = 3.14 * 4^2

Area of 1 star = 50.24

Area of both stars = 100.48

Area of the 4 semicircles at each end

The 2 semicircles at one end figure = 1 circle

The two circles gives the total area of the 4 semicircles.

Area 1 circle = pr * r^2

Area 1 circle = 3.14 * (8/2)^2

Area 1 circle = 50.24

There are 2 such circles = 100.48

Total area of both results

Total Area = 100.48 + 100.48

Total Area = 200.96

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