Mathematics

Mathematics

Problem

A path consists of two segments. Segment 1: the line from (0,0)(0,0) to (2,1)(2,1). Segment 2: the quarter–circle of radius 11 centered at (2,1)(2,1) from (2,1)(2,1) to (3,0)(3,0) in the clockwise direction. What is the total length of the path? a) 5+2\sqrt{5}+\sqrt{2} b) 5+π\sqrt{5}+\pi c) 5+π2\sqrt{5}+\dfrac{\pi}{2} d) 5+π22\sqrt{5}+\dfrac{\pi\sqrt{2}}{2}

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