Explanation:
Methane is a hydrocarbon with the molecular formula CH4. It consists of a carbon atom bonded to four hydrogen atoms. The arrangement of these atoms in the methane molecule is known as the molecular geometry or shape.

The arrangement of hydrogen atoms around carbon in the methane molecule is tetrahedral. This means that the molecule has a three-dimensional structure with a tetrahedral shape. A tetrahedron is a four-faced solid with each face being an equilateral triangle.

Reasons for Tetrahedral Shape:
The tetrahedral shape of methane can be explained by the following points:

- The carbon atom in methane has four valence electrons, and each hydrogen atom has one valence electron.
- In order to achieve stability, the carbon atom shares its valence electrons with the four hydrogen atoms to form covalent bonds.
- The four covalent bonds around the carbon atom are arranged in a tetrahedral shape to minimize the repulsion between the electrons.

The tetrahedral shape of methane is also related to the concept of hybridization. The carbon atom in methane undergoes sp3 hybridization, which means that it combines one s orbital and three p orbitals to form four hybrid orbitals. These four hybrid orbitals are then used to form the four covalent bonds with the hydrogen atoms, resulting in a tetrahedral shape.

Conclusion:
In conclusion, the arrangement of hydrogen atoms around carbon in the methane molecule is tetrahedral. This shape is a result of the carbon atom sharing its valence electrons with the four hydrogen atoms in a way that minimizes electron repulsion.