You seem to assume that characters are only done by radicals, which is not true. Not all parts in a character are radicals.
Consider for example the character 他. The radical is 亻 which is 人, the other part is not a radical; its appearance is the same as the character for "also": 也, but this is not a radical. Radicals are very useful, since you can understand the probable "topic-area" of a character:
烊 has the radical 火 (fire), and means "melt"; 洋 has the radical 水 (water), and means ocean.
In the case of 天, the radical is the #37 in this page, which is 大 + another stroke (4 strokes in total).
If you want to learn characters by stroke, (for example for the character 天) you can use some sites that help you with animations/pictures showing the stroke order; you can also start from the wikipedia resources regarding stroke orders.