Select all of the true statements. π is the area of a circle of radius 1.

π is the area of a circle of diameter 1.

π is the circumference of a circle of radius 1.

π is the circumference of a circle of diameter 1.

π is the constant of proportionality relating the diameter of a circle to its circumference.

π is the constant of proportionality relating the radius of a circle to its area.

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .