Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
9th October, 2026

Calculation r, radius of the circle.


a = 45+30

a = 75°

a is angle ECF.


b² = (4√(6))²+6²-2*6*4√(6)cos75

b = 10.0781555545 units.

b is EF.


c = ½(b)

c = ½(10.0781555545)

c = 5.03907777727 units.


It implies r, radius of the circle is;


sina = c/r


r = 5.03907777727/sin75


r = 5.21683719404 units.

Again, r is the radius of the circle.

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