All I need is code to calculate the radius and center of the inscribed circle. code in python or c++ is good.

a hint that was provided : you can segment the y-axis from (-sqrt(2), sqrt(2)) to many parts, for each y-position for circle center, you expand the radius until it reaches the boundary of the heart, by finding the intersection points. (use For-Loop twice). After comparing all of the radius at different y-positions, you pick out the largest one which is the circle you are looking for.

Problem 1.1 (10 Points) The heart equation x2 + ( = 2 can be graphed as -1.5 -1.5 -1 -0. 5 0 0.5 1 1.5 I dig a disc of max area disc the heart. Please use a numerical integration algorithm including rectangle rule, trapezoidal rule, and Monte Carlo methods, etc to compute the area of the remaining heart (for an accuracy of up to four significant digits.). Also, estimate the number of floating-point operations needed for each the method. Have a good Valentine's Day. Problem 1.1 (10 Points) The heart equation x2 + ( = 2 can be graphed as -1.5 -1.5 -1 -0. 5 0 0.5 1 1.5 I dig a disc of max area disc the heart. Please use a numerical integration algorithm including rectangle rule, trapezoidal rule, and Monte Carlo methods, etc to compute the area of the remaining heart (for an accuracy of up to four significant digits.). Also, estimate the number of floating-point operations needed for each the method. Have a good Valentine's Day