Mathematics Question and Solution
a = ⅐*180(7-2)
a = ⅐(900)°
a is the single interior angle of the regular heptagon.
(√(2)/sin(900/7)) = (1/sinb)
b = 33.5619539118°
c = 180-(900/7)-b
c = 17.8666175168°
(d/sin17.8666175168) = (√(2)/sin(900/7))
d = 0.5549581321 units.
e = 1-d
e = 0.4450418679 units.
f² = 2-2cos(900/7)
f = 1.8019377358 units.
g = ½(180-(900/7))
g = 25.7142857143°
h = (900/7)-g
h = 102.8571428571°
Therefore, length AB is;
Let it be j.
j² = 1.8019377358²+0.4450418679²-2*1.8019377358*0.4450418679cos102.8571428571
j = 1.9498558244 units.
Again, j is AB.
