Question: Math 1155 -- Written Assignment 1 (v2) 5. Part I ( 4 marks ) A circular duct runs inside a square enclosure that is 87.0

Math 1155 -- Written Assignment 1 (v2) 5. Part I ( 4 marks ) A circular duct runs inside a square enclosure that is 87.0 cm on a side (the circle is inscribed in the square here). The contractor would like to cut off a corner of the enclosure just so that the new edge can sit flush with (tangent to) the duct. What is the length of AM where the square should be cut? Explain and show work. Hints: See Discussion Board for Hints. Cut corner-> 87.0 cm 87.0 cm #6 Part II: [3 marks] Now that you have found the distance AM, the contractor has decided not to cut the square but to run a pipe inside the cavity instead. What size pipe (diameter d) can fit into the triangular space you calculated? A d M

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