r² = x²+(6+8)² --- (1).
r² = (10+x)²+6² --- (2).
Where r is the radius of the ascribed quarter circle.
Equating (1) and (2) to get x.
r² = r²
x²+(6+8)² = (10+x)²+6²
x²+196 = 100+20x+x²+36
196-136 = 20x
x = 60/20
x = 3 units.
Calculating r, radius of the ascribed quarter circle.
At (1).
r² = x²+(6+8)²
And x = 3 units.
r² = 3²+14²
r² = 9+196
r = √(205) units.
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