Mathematics Question and Solution
Calculating R, radius of the circle.
It implies;
10²+11²-2*10*11cosa = 7²+8²+2*7*8cosa
221-220cosa = 113+112cosa
221-113 = 112cosa+220cosa
108 = 332cosa
cosa = 108/332
a = acos(108/332)
a = 71.016175615°
b² = 10²+11²-2*10*11cos71.016175615
b = 12.2243091805 units.
Therefore, R, radius of the circle is;
sin71.016175615 = (0.5*12.2243091805)/R
R = (0.5*12.2243091805)/sin71.016175615
R = 6.4637130226 units.
