Consider the following sequence of problems related to grazing goats tied to a rope.

A circular concrete slab of unit radius is surrounded by grass. A goat is tied to the edge of the slab with a rope of length 0 ≤ a ≤ 2 (see figure). What is the area of the grassy region that the goat can graze? Note that the rope can extend over the concrete slab. Check your answer with the special cases a = 0 and a = 2.

Transcribed Image Text:

Rope extends over concrete slab