Let R be radius of the quarter circle.
Let r be radius of the inscribed circle.
R will be;
√(3²+4²)
R=√(25)
R= 5 units.
Therefore r will be;
(5-r)²=(3+r)²+r²
25-10r+r²=9+6r+r²+r²
r²+16r-16=0
Using quadratic equation app to resolve the quadratic equation above.
Therefore;
r = 0.94427 units.
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