Question

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

Answer 1

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