Mathematics Question and Solution
a = 2*135
a = 270°
a is reflex angle BOE.
b = 360-a
b = 90°
b is angle BOE.
c² = 6²+2-2*6√(2)cos135
c = 7.0710678119 units.
c = 5√(2) units.
c is BE.
Notice!
Since angle BOE is 90° where OB equal OE equal radius of the half circle, triangle BOE is an isosceles right-angled triangle.
Calculating OB equal OE equal radius of the half circle.
Let OB = OE = d.
And BE = 5√(2) units.
(5√(2))² = d²+d²
50 = 2d²
d² = 25
d = 5 units.
Again, d is OB equal OE equal radius of the semi circle.
