tana = 3/4
a = atan(3/4)°
b = ½(180-a)
b = ½(180-atan(3/4))
b = 71.5650511771°
Therefore, r, radius of the quarter circle is;
sin71.5650511771 = r/5
r = 4.7434164903 units.
Or
c = 4+5
c = 9 units.
(2r)² = 3²+9²
4r² = 9+81
4r² = 90
2r = √(90)
r = ½√(90)
r = ½(3√(10)) units.
r = 4.7434164903 units.
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