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A goat is tethered by a 6m rope to the outside corner of a shed measuring 4m by 5m in a grassy field. What area of grass can the goat graze?
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| Submitted: Wed Aug 13 2003
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TETHERED GOAT A goat is tethered by a 6m rope to the outside corner of a shed measuring 4m by 5m in a grassy field. What area of grass can the goat graze? PROBLEM STATEMENT As stated above the question is asking to find the maximum amount of area of grass the goat can graze. To tackle this problem we will be dividing the area of grass into sections that we can deal with. We will add all the areas together to give us the total area of grass grazed. Diagram (1) Working out area grazed by goat 5m 4m 6m Area of 3/4 circle = (3/4)*pi*r^2 = (3/4)*pi*6^2 = 84.82 metres squared Area of 1/4 circle = (1/4)*pi*r^2 = (1/4)*pi*2^2 = 3.142 metres squared Area of 1/4 circle =(1/4)*pi*r^2 = (1/4)*pi*1^2 = 0.785 metres squared Total Area = 0.785 + 3.142 + 84.82 = 88.747 m2 TETHERED GOAT- 2 The...
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