# Project #69793 - Measurement Investigation - The Tethered Goat

A goat is tethered to the corner of a field of dimensions show in the digram by a rope 6m long. The aim of the investigation is to find out what percentage of the grass in the field the goat has access to. This problem is trickier than it looks! You will need to use area formulas for triangles and sectors, trigonometric ratios and Pythagoras’ Theorem to save it!

1.Very carefully using a ruler and a compass, map out the area the goat will have access to. Shade out any inaccessible areas. Remember than neither the goat nor the rope can be outside the field. If you wish, you can draw a scaled-up copy of the diagram but remember to respect proportions.

2. Split the accessible area up into smaller shapes you know, using the formulas, how to calculate the area of.

3. Calculate the total accessible area in m2, and the percentage of the area of the field the goat can graze.

 Subject Mathematics Due By (Pacific Time) 05/08/2015 06:00 am
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