A goat is tied to a stake in his grazing pasture on a 42 foot tether. The farmer builds a 14 foot x 28 foot shed using the stake as one corner.
How much area does the goat have to graze?
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The Answer:
4926 square feet
Since the dimensions of the shed equal the length of the tether (14 + 28 = 42), the goat's grazing area is equal to 3/4 of a 42 foot radius circle (the yellow area) plus 1/4 of a 28 foot radius circle (the red area), plus 1/4 of a 14 foot radius circle (the cyan area.)
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