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# A goat is tied outside to the corner of a shed by a 7m long rope. If the shed has the dimensions of 8m by 5m, find the area of grass (to the

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A goat is tied outside to the corner of a shed by a 7m long rope. If the shed has the dimensions of 8m by 5m, find the area of grass (to the closest meter) on which the goat can graze.

Nov 5, 2014

#1
+95361
+10

This is a great question!  I have assumed that outside the buiding is all grass. :)

Grassed area = 3/4 of the big circle + the quadrant of the little circle

$$\\grass =\frac{3}{4}\times \pi \times 7^2\;+\;\frac{1}{4}\pi\times 2^2\\\\ grass =\frac{151\pi}{4}\\\\ grass =\frac{151\pi}{4}\\\\ grass =118.6\;m^2\qquadCorrect to 1 decimal place\\\\$$

If you have any questions just ask :))

Nov 5, 2014

#1
+95361
+10

This is a great question!  I have assumed that outside the buiding is all grass. :)

Grassed area = 3/4 of the big circle + the quadrant of the little circle

$$\\grass =\frac{3}{4}\times \pi \times 7^2\;+\;\frac{1}{4}\pi\times 2^2\\\\ grass =\frac{151\pi}{4}\\\\ grass =\frac{151\pi}{4}\\\\ grass =118.6\;m^2\qquadCorrect to 1 decimal place\\\\$$

If you have any questions just ask :))

Melody Nov 5, 2014
#2
+94607
0

I've seen this problem before, and I always liked it too, Melody!!!  It's not too difficult, but it does require a bit of thinking!!!