Programming Language= MATLAB

Approximate the value of pi by considering a quarter unit circle enclose inside a square.

2. Approximate the value of by considering a quarter unit circle enclose inside a square. The shaded quarter circle area is ,2/4 = 12/4-n4. The area of the circle can be approximated by choosing a large number of random points inside the square and counting the percentage that fall inside the quarter circle. The equation of a circle with unit radius centered at the origin is This is rearranged to give so any (x.y) point inside the square is also is inside the black area if The area inside the square is one square unit and so the ratio of points inside the black area black area. Inside a loop, choose a random position inside the square. Increment a counter if the point falls inside the quarter circle. Dividing the counter by the total points used gives the ratio of the black area to 1 square unit of area. Knowing computed black area to equal /4 allows solving for T. Execute the loop a sufficient number of times to obtain an accurate approximate of pi to 3 significant figures represents the area of the