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

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

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 0 ≤ a ≤ π (see figure). What is the area of the region (outside the corral) that the goat can reach?

Rope stretches along fence

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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