# MATH 2301-102 and -103 Fall 2017 Calculus I Recitation 10 Week 11

See the coversheet for instructions and the point value of each problem.

1. Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius $$r$$.
2. A piece of wire $$10 \, \mathrm{m}$$ long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle.
1. How should the wire be cut so that the total area enclosed is a maximum?
2. How should the wire be cut so that the total area enclosed is a minimum?
3. A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is $$30\, \mathrm{ft}$$, find the dimensions of the window so that the greatest possible amount of light is admitted.