solve the foll
m = 2 18, 39, 64, 125
Write the subset
Answers
The hexagon can be subdivided into 6 equilateral triangles. The base of each triangle is 10 meters. By the properties of 30-60-90 right
triangles, we know that the altitude of each equilateral triangle is 5√3 meters. The area of the whole hexagon, then, is 6 × 1/2 × 10 × 5√3
= 150√3 m2. Although there are seven solar discs across a long diagonal of the hexagon, the diameter of those discs is not 20/7 since the
discs on the ends do not intersect the vertices of the hexagon. To find the radius of the solar discs, we draw a perpendicular segment from
the center of the center disc to the midpoint of one side of the hexagon. The length of this altitude is 5√3 meters, and it represents 3√3 + 1
radii of the discs. The radius of each disc is (5√3)/(3√3 + 1), so the area of the 37 discs is 37 × π × [(5√3)/(3√3 + 1)]2. This accounts for
[37 × π × [(5√3)/(3√3 + 1)]2]/[150√3] ≈ 0.87 of the hexagon, which is 87%