Mathematics Question and Solution
Calculating r, radius of the circle.
a = 5+6
a = 11 units.
b = ½(a)
b = 5.5 units.
c = 180-60
c = 120°
It implies;
d² = 3²+6²-2*3*6cos60
d² = 45-18
d = √(27)
d = 3√(3) units.
((3√(3))/sin60) = (6/sine)
e = 90°
f² = 5²+3²-2*5*3cos120
f² = 34+15
f = √(49)
f = 7 units.
(7/sin120) = (5/sing)
g = 38.2132107017°
h = e+g
h = 90+38.2132107017
h = 128.2132107017°
j = 2h
j = 256.426421403°
k = ½(360-256.426421403)
k = 51.7867892983°
Therefore, r, radius of the circle is;
sin51.7867892983 = 5.5/r
r = 5.5/sin51.7867892983
r = 7 units.
