Mathematics Question and Solution
Calculating R, radius of the circle.
Let alpha be x.
a² = 11²+37²-2*11*37cosx
a² = 1490-814cosx --- (1).
a² = 37²+26²-2*26*37cosx
a² = 2045-1924cosx --- (2).
Equating (1) and (2) to get alpha (x)
1490-814cosx = 2045-1924cosx
1924cosx-814cosx = 2045-1490
1110cosx = 555
cosx = 555/1110
x (alpha) = 60°
It implies, calculating a using (1).
a² = 1490-814cos60
a = 32.9089653438 units.
b = ½(a)
b = 16.4544826719 units.
Therefore, R, radius of the circle is;
sin60 = 16.4544826719/R
R = 16.4544826719/sin60
R = 19 units.
