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Review of required concepts Angle between x axis line (x=radius of circle,0) and the line passing through point on the circle can be measures in degree or Radians. Radian as measure is preferred by mathematician. 360 degrees is about 6.34 radians. Excel trigonometric functions (Sin, Cos, Tan..), taken angle in Radian as an argument.  Based on relation between angles in degree and Radian, one can convert degree to Randian and vice versa. For Unit radius circle, x2 + y 2 = 1 (refer graph below, t is angle in radian) Using Unit circle property, and trigonometric properties of sin and Cos function,  You get x value (using Cos, of degree in Radian) and y value (using Sin, of degree in Radian). Further, using Atan or Atan 2 you can get inverse of tangent, and can plot the points in 2 quadrant or 4 quadrant. USING ATAN AND ATAN 2 FUNCTION The ATAN function r eturns a result  between -π/2 and π/2 radians  (or -90 and 90 degrees), or in other words, in the first and fourth quadrants. ATAN(numb

  Understanding Circle Point on circumference of above circle follows the equation x 2  + y 2  = 5 2 (also called as circle equation) All points are the same distance  from the center. Which in general can be written as,  x 2  + y 2  = radius 2 When center of the circle is not the origin of axis, equation is, (x−a) 2  + (y−b) 2  = r 2 (this is standard form for the equation of a circle). you may see a circle equation and  not know it ! Tangent to the circle Consider a  circle  in the above figure whose centre is O. AB is the tangent to a circle through point C. Take a point D on tangent AB other than C and join OD. Point D should lie outside the circle because; if point D lies inside, then AB will be a secant to the circle and it will not be a tangent. Therefore, OD will be greater than the radius of circle OC. This happens for every point on AB except the point of contact C. It can be concluded that OC is the shortest  distance  between the centre of circle O and tangent AB. Since, th

Command to import data from excel and round of columns value. exceldata=read_excel("C:\\Users\\nilkanth.chapole\\Documents\\product_list.xlsx") dfdata=data.frame(exceldata) dfround <- purrr::modify_if(dfdata, ~is.numeric(.), ~round(., 0)) dfdata dfround

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  The margin of error depends on the confidence level. Confidence level is often considered the probability that the calculated confidence interval estimate will contain the true population parameter. Reference: 7.2 Confidence Intervals for a Single Population Mean with Known Population Standard Deviation – Introduction to Statistics (pressbooks.pub)