A goat is tied to the corner of 7 foot square barn. It has a 20 foot long rope. What is the area of its grazing? I thought it would be 300*pi+169*pi/4-1/4*36*pi. However I got about 1179 and the correct answer rounds to 1176. Did I make a mistake or did I do it wrong. I said 300*pi because 3/4 sector of a 20 foot radius circle, 169*pi/4 because of two quarter sectors of 13 radius circles, and -1/4*36*pi, because the two radius thirteen circles overlap each other by 6 foot radii in a 90 degree circular arc.