Mathematics

Mathematics

Problem

The wiper of a car consists of a blade of length 30 cm30\,\text{cm} attached to an arm. The blade cleans an annular sector (the region between two concentric arcs) because it is attached 10 cm10\,\text{cm} away from the pivot point. If the wiper sweeps through an angle of 135∘135^{\circ}, calculate the area of the windshield cleaned.

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