Task Understanding geometric properties and attributes of inscribed quadrilaterals of a circle can help find
locations and relationships.
Directions for Students
Tammy has a circular garden with a diameter of 36 feet. She will create 4 stone pathways in the garden
that will form an inscribed quadrilateral in her circular garden. Tammy wants the straight-line distance
between one pair of opposite vertices to be 36 feet. She also wants two consecutive pathways to have
lengths of 24 feet and 12 feet. Tammy will plant marigolds along the shorter edge of the garden that is cut
off by the pathways of lengths 24 feet and 12 feet. What length, to the nearest tenth of a foot of the edge
of the garden will be planted with marigolds? Provide evidence to support your answer.