Radical Bromination of a 1-isopropyl-4-methylcyclohexane
They are not chiral because $\ce{C}-4$ is only considered to be bonded to 3 unique groups because the ring is completely symmetrical through $\ce{C}-1$ and $\ce{C}-4$.

As for naming these compounds, the reagent is simple: cis-1-isopropyl-4-methylcyclohexane (or cis-1-(1-dimethylethyl)-4-methylcyclohexane if you're a stickler for the rules).

The products are a little tricker. Let's start with the basics: it is 1-bromo-4-isopropyl-1-methylcylohexane. Now to account for the steric relations of these substituents, label the reference substituent (labeled r) followed by a hyphen and the substituent locator number and name. The relative configuration of other substituents are then reported as cis (c) or trans (t) to the reference substituent.

This means that in the order that you present the products, their names are r-1-bromo-t-4-isopropyl-1-methylcylohexane and r-1-bromo-c-4-isopropyl-1-methylcylohexane.

[Source - (page 1060)]