Radius R of the big circle is 50 unit.
(R-10)²=R(R-18)
R²-20R+100=R²-18R
2R=100
R=50 units.
Radius r of the small inscribed unshaded circle is 41 unit.
2r=2R-18, and R=50
2r=100-18
2r=82
r=41 units.
Therefore shaded area will be;
50²π - 41²π
= 819π square units.
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