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import math def calculate_area(n, angles, distances): vertices = [(0, 0), (distances[0], 0)] # Start with the first two vertices angle_from_horizontal = 0 for i in range(1, n-1): angle_from_horizontal += 180 - angles[i-1] radians = math.radians(angle_from_horizontal) x = vertices[-1][0] + distances[i] * math.cos(radians) y = vertices[-1][1] + distances[i] * math.sin(radians) vertices.append((x, y)) # Use shoelace formula to calculate area area = 0 for i in range(-1, n-1): area += vertices[i][0] * vertices[i+1][1] area -= vertices[i+1][0] * vertices[i][1] area = abs(area) / 2 return area def main(): n = 4 # Number of sides angles = [90, 110, 90, 70] # Interior angles in degrees distances = [5, 8, 5, 8] # Distances of each side area = calculate_area(n, angles, distances) print(f"The area of the polygon is: {area:.2f} square units") if __name__ == "__main__": main()
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