Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...

Woodcutter

A woodcutter starts to fell a tree 4 feet in diameter, and cuts half way through. One face of the cut is horizontal, and the other face is inclined to the horizontal at an angle of 45 degrees. Find the volume of the wood cut out.

Round Pond in Rectangular Garden

A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the circumference of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?