Grazing AreasDate: 05/29/2001 at 13:28:53 From: Siddharth Subject: Areas Three horses are tied to the corners of a triangular field. Each horse is tied with a rope of length 7m. The sides of the triangle are 20m, 30m, and 40m. Find the area grazed by the three horses altogether. Date: 05/29/2001 at 15:16:50 From: Doctor Rob Subject: Re: Areas Thanks for writing to Ask Dr. Math, Siddharth. Since 40 > 30 > 20 > 7 + 7, the three areas of grazing do not overlap. Each is a sector of a circle with radius 7m. They can be rearranged and joined together to make a semicircle of radius 7m. I leave the reasons, the details, and the finishing of this to you. For more on calculating grazing areas, see the Dr. Math FAQ: http://mathforum.org/dr.math/faq/faq.grazing.html - Doctor Rob, The Math Forum http://mathforum.org/dr.math/ |
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