Mathematics Question and Solution
Calculating Area Green Circle.
a = ½(2)
a = 1 unit.
cosb = 1/3
b = atan(⅓)°
b = 70.5287793655°
c = 180-b
c = 180-70.5287793655
c = 109.471220634°
d = ½(c)
d = ½(109.471220634)
d = 54.7356103172°
Calculating r, radius of the green circle.
Let it be x.
(3/sin70.5287793655) = (x/sin54.7356103172)
x = (3sin54.7356103172)/sin70.5287793655
x = 2.59807621135 units.
Again, x is the radius of the green circle.
It implies, area green is;
πx²
= π(2.59807621135)²
= 6.75π square units.
= 21.2057504117 square units.
