Area = Pi x R ^2
Area = Pi x 1 ^ 2
Area of Large Circle = 9.869604401089358
Area = Pi x 0.5 ^ 2
Area of Small Circle = 2.46740110027232
Area of Shaded Area = Area of Large Circle - Area of Small Circle
Area of Shaded Area = 9.869604401089358 - 2.46740110027232
Area of Shaded Area = 7.402203300817038units^2
I think that's right... it's been a while since I've done any decent maths lol.
