The following is a program that calculates the value of PI based on the following formula: π/4≈1-1/3+1/5-1/7+⋯ Please complete the program by using c
时间: 2024-03-19 11:43:31 浏览: 60
计算pi的值
Sure, here's the completed program:
```c
#include <stdio.h>
int main() {
int n = 0;
double pi = 0.0, term = 1.0;
while (1) {
pi += term;
n++;
term = -term / (2 * n - 1);
if (term < 1e-6) {
break;
}
}
pi *= 4;
printf("The value of pi is %.6f\n", pi);
return 0;
}
```
Explanation:
- We start by initializing the variables `n`, `pi`, and `term`.
- We enter a loop that keeps adding `term` to `pi` and updating the value of `term` based on the formula.
- The loop continues until the absolute value of `term` becomes smaller than a certain threshold (`1e-6` in this case).
- After the loop, we multiply `pi` by 4 to get the approximation of `pi`.
- Finally, we print the value of `pi` with 6 decimal places using the `printf` function.
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