Solution Found!
Answer: Grazing goat problems. Consider the following
Chapter 8, Problem 49E(choose chapter or problem)
Consider the following sequence of problems related to grazing goats tied to a rope. (See the Guided Projects for more grazing goat problems.)
A circular corral of unit radius is enclosed by a fence. A goat is outside the corral and tied to the fence with a rope of length \(a\ \geq\ 0\) (see figure). What is the area of the region (outside the corral) that the goat can reach?
Questions & Answers
QUESTION:
Consider the following sequence of problems related to grazing goats tied to a rope. (See the Guided Projects for more grazing goat problems.)
A circular corral of unit radius is enclosed by a fence. A goat is outside the corral and tied to the fence with a rope of length \(a\ \geq\ 0\) (see figure). What is the area of the region (outside the corral) that the goat can reach?
ANSWER:
Solution 49E
Step 1:
Grazing goat problems. Consider the following sequence of problems related to grazing goats tied to a rope. (See The Guided Projects for more grazing goat problems.)
A circular corral of unit radius is enclosed by a fence. A goat is outside the corral and tied to the fence with a rope of length a ≥ 0 (see figure). What is the area of the region (outside the corral) that the goat can reach?
