A zookeeper recently opened a new turtle exhibit at his zoo. The radius of the inside of the swimming pool, the radius of the outside of the swimming pool, and the distance from the center of the pool to the midpoint of any of the square exhibit's sides forms the ratio 1:3:4.

Math Challenges

1a) In terms of pi, what is the area of the square exhibit that is designated for grass if the radius of the inside of the pool is 1 meter?

1b) In terms of pi, what is the area of the square exhibit that is designated for grass if the radius of the inside of the pool is 2 meters?

1c) In terms of pi, what is the area of the square exhibit that is designated for grass if the radius of the inside of the pool is 4 meters?

2a) In terms of pi, what is the area of the pool if the radius of the inside of the pool is 1 meter?

2b) In terms of pi, what is the area of the pool if the radius of the inside of the pool is 2 meters?

2c) In terms of pi, what is the area of the pool if the radius of the inside of the pool is 4 meters?

Programming Challenges

1) Turtle movement commands include TurtleForward[], TurtleBack[], TurtleLeft[], and TurtleRight[]. How can utilize these turtle commands to make a circular motion?

2a) Create and revise a copy of the program in which the exhibit has two pools of equal size.
2b) Create and revise a copy of the program in which the exhibit has two pools of unequal size.