Problem 57550. Compute the area of the shoemaker’s knife

A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter a with two semicircular “bites” of diameters b and a-b.
Write a function to compute the area Ak of this shape as well as the area Ac of a circle with diameter c, the length of the line tangent to the two smaller semicircles and touching the edge of the largest semicircle.
Solve

Solution Stats

44.44% Correct | 55.56% Incorrect
Last Solution submitted on Apr 28, 2025

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arbelos geometry

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