Hybridization determines what kind of connection is formed around the core atom. All four bonds involved in hybridization are sigma bonds. As a result, the hybridised atom has no pi bonds.
Each of the six carbon atoms in benzene's cyclic arrangement of six carbons has a hydrogen atom attached to it. In benzene, there are 3 pi bonds that alternate with 6 sigma bonds connecting the carbon atoms. Four electrons in bonded electron pairs make up each carbon atom. Three of these are involved in sigma bonding, while one helps form a pi bond.
They are overlapping just about here, and this sp3 orbital is heading in that direction. When the overlap is along the same axis, this is known as a sigma bond.
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