Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
18th March, 2024

3²+4²+2*3*4cosa = 5²+6²-2*5*6cosa

25+24cosa = 61-60cosa

84cosa = 36

cosa = (36/84)

cosa = (3/7)

a = acos(3/7)

a = 64.6230664748°


b = 2a

b = 129.2461329497°


c² = 5²+6²-2*5*6cos64.6230664748

c = 5.9401779675 units.


Therefore, R, radius of the circle is;


sin64.6230664748 = (0.5*5.9401779675)/R

R = (0.5*5.9401779675)/(sin64.6230664748)

R = 3.2872861147 units.

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