A goat is tethered to a stake in the ground with a 5-m rope. The goat can graze to the full length of the rope a full 360 degrees around the stake. How much area does the goat have in which to graze?

Question

Cheyanne Salazar

Mathematics

22 September, 18:02

A goat is tethered to a stake in the ground with a 5-m rope. The goat can graze to the full length of the rope a full 360 degrees around the stake. How much area does the goat have in which to graze?

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Answers (1)

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Coffey · Answer 1

The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,

A = πr²

Substituting,

A = π (5m) ² = 78.54 m²

Thus, the area that the goat is able to graze is equal to 78.54 m².