Calculating radius of the quarter circle.
Let x be the radius of the ascribed quarter circle.
a = ½(360-90)
a = ½(270)
a = 135°
b² = 4²+8²-2*4*8cos135
b = 11.1917306077 units.
Therefore calculating x.
2x² = b²
2x² = 11.1917306077²
x² = 62.6274169977
x = √(62.6274169977)
x = 7.91374860592 units.
Again, x is the radius of the ascribed quarter circle.
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