In the accompanying, diagram a fair spinner is placed at the centre `O` of the circle, Diameter `A O B` and radius `O C` divide the circle into three rigions lebelled `X , Ya n dZ` . If `/_B O C=45^0dot` What is the probability that the spinner will land in the region `X ?`

Explanation

`(##X_RD_13_E01_26_s01##)`
Given `angle B O C=45^{circ}`

`angle A O C=180-angle 5=135^{circ}`

Area of circle `=pi r^( 2)`

Area of region x`=frac{theta}{360^{circ}} times pi r^{2}`


`=frac{135}{360} times pi r^{2}=frac{3}{8} pi r^{2}`


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