An inexpensive angle grinder with a diamond blade can cut perfect circles and squares in the toughest tile. You can buy a 4- or 4-1/2-in. grinder and a dry-cut diamond blade for as little as $75.

We could use the saw indoors to cut installed tile flooring without making too much of a mess. Still, if you’re using it indoors, you’ll probably want a wet/dry vacuum handy to suck up any ...