Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A window is a rectangle wide and high, with a semicircle on the top side. Find the area of the glass and the length of the frame that goes round the whole edge. Take .
A window is a rectangle plus a semicircle. The inner edge of a track is and each lane further out is longer by . Three touching circles of radius enclose .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , , and the semicircle has a radius of .
Step 1. The rectangle. .
Step 2. The semicircle. .
Step 3. The glass. .
Step 4. The frame. The curved top is . The frame is .
Answer: the glass is and the frame is long.
Watch out. The side of the rectangle under the semicircle is not part of the frame.
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