Left figure: area = 1 2 ⋅ π ⋅ 1,5 ⋅ 1,5 2 + 3 2 + 1 2 ⋅ π ⋅ 1,5 2 ≈ 11,44 . Middle figure: area = 1 4 ⋅ 4 π ⋅ 1,5 2 + 2 ⋅ 1 2 ⋅ π ⋅ 1,5 2 = 4,5 π ≈ 14,14 . Right figure: area = 2 ⋅ ( π ⋅ 1,5 ⋅ 1,5 2 + 1,25 2 - π ⋅ 0,5 ⋅ 0,5 2 + 0,75 2 ) + 2 ⋅ π ⋅ 1,5 2 ≈ 25,64 .
Area = 2 ⋅ 1 2 ⋅ 8 ⋅ 34 + 2 ⋅ 1 2 ⋅ ( 12 + 6 ) ⋅ 41 = 8 34 + 18 41 .
Area = 5 ⋅ 1 2 ⋅ 4 ⋅ 4 2 - 2 2 + 5 ⋅ 1 2 ⋅ 4 ⋅ 2 tan ( 36 ) ≈ 62,17 .
area = π ⋅ 1,5 ⋅ 1,5 2 + 1 2 + π ⋅ 2 ⋅ 12 2 + 2 2 - π ⋅ 1,5 ⋅ 1,5 2 + 9 2 ) ≈ 43,13 .
area = 3 4 ⋅ π ⋅ 119 2 - 3 4 ⋅ π ⋅ 19 2 ≈ 32515,5 cm2.
The figure consists of two regular octagons and 16 equilateral triangles with edges 4 cm long. area = 2 ⋅ 8 ⋅ 1 2 ⋅ 4 ⋅ 2 tan ( 22,5 ° ) + 16 ⋅ 1 2 ⋅ 4 ⋅ 4 2 - 2 2 ≈ 265,36 .
area = 4 π ⋅ 4 2 - 2 ⋅ π ⋅ 4 ⋅ ( 4 - 4 2 - 3 2 ) + 2 π ⋅ 3 ⋅ 3 ≈ 223,6 m2.