The importance of Dill and Fennel

Is this plant called Dill or a Fennel?
This herb has been planted beside our house about three years ago. My sister has been constantly telling me that this plant is called Dill – a very popular culinary herb. I am not too much familiar with the actual properties of Dill. But we know that Dill and Fennel are resembled with each other.

Anyway, Dill is used for culinary and for medicine as well.