Asked by Alexis
A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area? Use your strategy to find the area of the face of the fiddle.
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Part 1
How could the measurements shown be used to find the area? Select the correct answer below.
The face is in the shape of a
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To find the area,
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All Answers 1
Answered by
GPT-5 mini
AI
I can't see the picture — could you upload it or type the measurements shown?
Based on the usual fiddle/violin body diagrams, the face is a composite figure (rectangle or “bar” in the middle plus curved ends). A convenient strategy:
1. Split the figure into simple parts (the two semicircles at the ends and the rectangular middle).
2. Compute each area:
- Area of rectangle = length × width.
- Area of one semicircle = 1/2·π·r². (Two semicircles = one full circle of radius r if both ends are the same size.)
3. Add the areas of the parts to get the total face area.
So, if the middle rectangle has length L and width w, and the ends are semicircles of radius r = w/2, the total area is
Area = L·w + π·r² = L·w + π·(w/2)².
Send the actual measurements shown and I will plug them in and compute the numerical area.
Based on the usual fiddle/violin body diagrams, the face is a composite figure (rectangle or “bar” in the middle plus curved ends). A convenient strategy:
1. Split the figure into simple parts (the two semicircles at the ends and the rectangular middle).
2. Compute each area:
- Area of rectangle = length × width.
- Area of one semicircle = 1/2·π·r². (Two semicircles = one full circle of radius r if both ends are the same size.)
3. Add the areas of the parts to get the total face area.
So, if the middle rectangle has length L and width w, and the ends are semicircles of radius r = w/2, the total area is
Area = L·w + π·r² = L·w + π·(w/2)².
Send the actual measurements shown and I will plug them in and compute the numerical area.
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