TOT 239 1989 Autumn A S3 area of cross wanted, rotate _|_lines, circle
Source:
March 12, 2021
geometryarea
Problem Statement
Choose a point inside a circle of radius . Construct a pair of perpendicular lines through . Then rotate these lines through the same angle about . The figure formed inside the circle, as the lines move from their initial to their final position, is in the form of a cross with its centre at . Find the area of this cross.(Problem from Latvia)