A sprinkler sprays water in a circular region with a radius of 5 m. It is positioned in such a way that some of the water is landing on a nearby sidewalk.
In the diagram, the circle with centre O represents the circular region covered by the water sprinkler. Points A and B lie on the circle with ∠AOB = 90° and OA = 5 m. The shaded region, which is the region inside sector AOB but outside of △AOB, represents the region of the sidewalk where water is landing.
Determine the area of the region of the sidewalk where the water is landing, correct to one decimal place.
Source: CEMC Problem of the Week
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