Area of Grass for Tied Goat: 40.4383m^2

[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?

 

[J77]

Yep - your answer is correct.

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

(or polar equivalent),

right?