Let the regular pentagon side be 1 unit.
sin54 = a/1
a = 0.80901699437 unit.
b = 2a
b = 1.61803398875 units.
Let the regular hexagon side be c.
Calculating c.
c+2(csin30) = b
c+2(0.5c) = 1.6180...
Radius of the semi circle is 12 cm.
Angle AED = atan(½)°
sin(atan½) = a/24
a = 10.733126292 cm.
a = AF.
cos(atan½) = b/12
b = 21.466252584 cm.
b = EF.
cos(atan2) = c/10.733126292
c = 4.8 cm.
d...
Our certified, experienced, resilient, productive and committed Math Educators will be glad to be at your service.
We make teaching and learning Mathematics fun for learners, we expose the simplicit...
a² = 2*12²-2*12²cos120
a = 12√(3) cm.
a = 20.78460969083 cm.
a = AB.
b = 2a
b = 24√(3) cm.
b = 41.56921938165 cm.
b = AC.
c² = 12²+41.56921938165²-24*41.56921938165cos30
c = 31.74901573277 cm.
c =...
Let the regular octagon side be 2 units.
Area Octagon is;
½(8*2)*(2/(2tan(180/8)))
= 8/(tan(180/8))
= 19.31370849898 square units.
Calculating Area Red.
a = ⅛(180*6)
a = 135°
Let the square...
OD = DM = 6√(2) cm.
a = atan(6√(2)/12)
a = 35.26438968275°
a = Angle OCD = Angle CDM.
tan35.26438968275 = b/(6√(2))
b = 6 cm.
b = EM.
EN = 6√(2)-6 cm.
EN = 2.48528137424 cm.
c = 12+6√(2)-6
c...
Let the congruent lengths be 1 unit.
(1/sin66) = (BC/sin84)
BC = 1.08863974644 units.
(AC)² = 1.08863974644²+1-2*1.08863974644cos78
AC = 1.31622742593 units.
(1.31622742593/sin78) = (1/sina)
a =...
Using 12 cm as AB.
Circle's radius, r = 6√(2) cm.
a = 45-atan(½)
a = 18.43494882292°
sin(atan(0.5)) = 6/b
b = 13.416407865 cm.
cos18.43494882292 = c/6√(2)
c = 8.049844719 cm.
d = 2*8.049844719 ...
Let the base of the triangle ascribing the green and yellow area b 1 unit.
tan55 = a/1
a = 1.42814800674 units.
tan55 = b/(1-b)
b = 0.58816349035 unit.
Where b is the side of the white and yellow...
Let BD be 1 unit.
(a/sin84) = (1/sin54)
a = 1.22929666779 units.
a is AC.
b = 180-54
b = 126°
b is angle BDC.
(BC)² = 1.22929666779²+1-2*1.22929666779cos126
BC = 1.98904379074 units.
Calculating...
