Polar coordinates

1. Sep 26, 2006

413

http://i10.tinypic.com/3ztgdx2.jpg

Consider a pasture bordering on a straight river. At 2m from the river, a goat is tied to a pole with a 4m long rope. What is the area of grass that the goat can graze?

The answer i got is about 40.4383m^2

Am i correct?

2. Sep 27, 2006

J77

Yep - your answer is correct.

You used $$2\int^4_{-2}\sqrt{16-x^2}dx$$

(or polar equivalent),

right?

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