#include<stdio.h>
#include<math.h>
float valueFx(float x);
float lengthOfCurve(int a,int b,float deltaX);

float r = 3.0;

int main()
{
  int a = -3,b=3;
  //printf("Enter the boundary values : a,b ");
  //scanf("%d,%d",&a,&b);
  
  float delX = 0.001;
  printf("Length of curve Actual: %f \n", 3.14159 * r);
  printf("Length of curve : %f \n",lengthOfCurve(a,b,delX));
  
  return 0;
}
float valueFx(float x)
{
  return sqrt( r*r - x*x);
}

float lengthOfCurve(int a,int b,float deltaX)
{
  float lowX = a,highX = a + deltaX,length = 0.0;
  
  while(highX <= b)
  {
    float y2 = valueFx(highX);
    float y1 = valueFx(lowX);
    float y = y2-y1;
    float x2 = highX;
    float x1 = lowX;
    float x = x2-x1;
    length += sqrt ( y*y + x*x ); 
    
    lowX = highX;
    highX = highX + deltaX;
  }
  if(lowX < b && highX > b)
  {
    float y2 = valueFx(b);
    float y1 = valueFx(lowX);
    float y = y2-y1;
    float x2 = b;
    float x1 = lowX;
    float x = x2-x1;
    
    length += sqrt ( y*y + x*x ); 
  }
  return length;
}