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Answer:
The probability that a randomly selected point in a circle will be in the shaded region is: 0.38Step-by-step explanation:To find the required probability, we have to find the area of circle and the shaded region.first of allArea of Circle:Radius of circle = 4 cm[tex]A_c = \pi r^2\\=3.14 * (4)^2\\=3.14*16\\=50.24\ cm^2[/tex]Area of shaded region:The shaded region is a triangleHeight of triangle = 4+2.5 = 6.5cmBase = 3+3 = 6cm[tex]A_T = 0.5 * Base * Height\\= 0.5 * 6 * 6.5\\=19.5\ cm^2[/tex]The probability of selecting a point randomly and it being in the shaded region will be:[tex]\frac{Area\ of\ shaded\ region}{Area\ of\ circle}\\= \frac{19.5}{50.24}\\=0.388 => 0.38[/tex]The probability that a randomly selected point in a circle will be in the shaded region is: 0.38Keywords: ProbabilityLearn more about probability at:brainly.com/question/2154850brainly.com/question/2367554#LearnwithBrainly
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