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In a C program, translate the following into Chinese: What is the area of ​​a square inside a circle inscribed in an equilateral triangle?

王林
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2023-09-04 08:57:12875browse

Find the area of ​​a square inscribed in a circle inscribed in an equilateral triangle. The radius of a circle inscribed in an equilateral triangle is a/(2√3).

The diameter of the circle is the diagonal of the square, d = 2 * r = a/ √3

The formula for the area of ​​the square is ½ d2,

A = 0.5 * d2 A = (1/2) * (a2) / (3) = (a2/6)

In a C program, translate the following into Chinese: What is the area of ​​a square inside a circle inscribed in an equilateral triangle?

Example

#include <iostream>
using namespace std;
int main() {
   float area,a = 10;
   area = (a*a) / 6;
   cout <<"area = "<<area<< endl;
   return 0;
}

Output

area = 16.6667

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