The idiom "square the circle" means to try to do something that is impossible or to solve a problem that has no solution. It refers to the ancient mathematical problem of constructing a square with the same area as a given circle using only a compass and a straightedge, which is impossible to achieve.
In everyday language, we use this idiom to describe situations where we are trying to accomplish something that is very difficult or impossible. For example, if someone is trying to convince their boss to give them a raise, but their boss is known for being very stingy with salaries, we might say that they are trying to "square the circle."
Overall, the idiom "square the circle" is used to describe situations where we are attempting to do something that is very challenging or impossible to achieve.
• The scientists are attempting to square the circle of developing a cure for cancer.
• I cannot square the circle of how my dog ran away from home last night.
• The diplomat is trying to square the circle of negotiating peace between warring countries.
• The government is trying to square the circle of providing free education to all children.
• It's difficult to square the circle between managing work and family responsibilities.
• The CEO is trying to square the circle of balancing the company's budget while also increasing employee benefits.