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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.

Guest Nov 5, 2014

#1
+92179
+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
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#1
+92179
+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
+85622
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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!!!