a² = (2r)²+r²
a = √(5r²)
a = √(5)r units.
b = a-r
b = (√(5)r-r) units.
Considering similar triangle ratios.
Calculating r.
(√(5)r-r) = 2r
√(2) = r
Cross Multiply.
(√(5)r-r) = 2√(2)
r(√(5)-1) = 2√(2)
r = (2√(2))/(√(5)-1)
r = ½(√(2)+√(10)) units.
r = 2.28824561127 units.
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