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In the accompanying diagram, a fair spinner is placed at the centre O of the circle.

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In the accompanying diagram, a fair spinner is placed at the centre O of the circle. Diameter AOB and radius OC divide the circle into three regions labelled X, Y and Z.? If ∠BOC = 45°. What is the probability that the spinner will land in the region X? Select the correct answer from above options

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Given, ∠BOC = 45° ∠AOC = 180 – 45 = 135° [Linear Pair] Area of circle = πr2 Area of region x = θ/360 × πr2 = 135/360 × πr2 = 3/8 × πr2 The probability that the spinner will land in the region x = 3 8 Therefore, the probability that the spinner will land in region x is 3 8 .

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