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Thread: Estimated Circle Area

09142009, 02:56 PM #1
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Estimated Circle Area
Hi, I was given a normal lab question and I have difficulty in understand and doing it. The question is:
The questions are: (Any idea how to show?)
And lastly I was given the sample codes to start off.
This is my codes. However I cant seems to get the correct results.
Any ideas on how to improve it?
Thanks!
Code:#include <stdio.h> #include <stdlib.h> #include <math.h> #define RAND(X) ((double) rand()/RAND_MAX * X) #define PI 3.141593 int main() { int x=0, y=0, points=0, i, count=0; double radius=0.0, estArea, actualArea; printf("Please enter the radius of the circle: "); scanf("%lf", &radius); printf("Please enter the number of points to generate: "); scanf("%d", &points); // Actual area of circle actualArea=PI*radius*radius; for (i=0; i<points; i++) { x=RAND(x); y=RAND(y); if(x*x+y*y<4) { count++; } } estArea=(count/points)*((2*radius)*(2*radius)); // Output printf("\n\nAfter %d simulations, the area of circle is estimated to be %.2f \n", points, estArea); printf("Actual area of circle is %.2f\n", actualArea); return 0; }
09142009, 07:17 PM
#2
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This is where you check if your coords are in the circle:
Whats the '4' doing in your condition?Code:if(x*x+y*y<4) { count++; }
If I were to check the distance between the center (r, r) and some coordinate (x, y), I would just calculate the connecting vector, then its magnitude, and compare that to r.
Example: (r  x, r  y) < r? where (r  x, r  y) = sqrt((rx)^2 + (ry)^2);
edit: You might aswell leave the square root out and compare it to the square of the radius to make things a little cleaner.
Last edited by BrickInTheWall; 09142009 at 07:23 PM.