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Data Visualizationhard
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In a radar chart (spider plot) with 5 axes, each axis represents a variable vi∈[0,10]v_i \in [0, 10]vi​∈[0,10]. The area of the polygon formed by connecting points (r1,θ1),...,(r5,θ5)(r_1, \theta_1), ..., (r_5, \theta_5)(r1​,θ1​),...,(r5​,θ5​) is given by 12∑riri+1sin⁡(2πn)\frac{1}{2} \sum r_i r_{i+1} \sin(\frac{2\pi}{n})21​∑ri​ri+1​sin(n2π​). If all ri=5r_i = 5ri​=5, what is the area?