1.3 KiB
1.3 KiB
id | challengeType | title |
---|---|---|
5900f4b91000cf542c50ffcb | 5 | Problem 332: Spherical triangles |
Description
Let C(r) be the sphere with the centre (0,0,0) and radius r. Let Z(r) be the set of points on the surface of C(r) with integer coordinates. Let T(r) be the set of spherical triangles with vertices in Z(r). Degenerate spherical triangles, formed by three points on the same great arc, are not included in T(r). Let A(r) be the area of the smallest spherical triangle in T(r).
For example A(14) is 3.294040 rounded to six decimal places.
Find A(r). Give your answer rounded to six decimal places.
Instructions
Tests
tests:
- text: <code>euler332()</code> should return 2717.751525.
testString: assert.strictEqual(euler332(), 2717.751525, '<code>euler332()</code> should return 2717.751525.');
Challenge Seed
function euler332() {
// Good luck!
return true;
}
euler332();
Solution
// solution required