An automotive engineer is designing a rear windshield wiper for a new hatchback

MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

An automotive engineer is designing a rear windshield wiper for a new hatchback. The wiper mechanism sweeps through an angle of 120∘120^\circ. The blade itself is attached to a wiper arm, and the total length from the pivot point to the tip of the wiper blade is 45 cm. Assuming the wiper blade clears the glass all the way down to the pivot point, Calculate the total area of the windshield that is cleared by the wiper blade and the perimeter of this cleared sector. In your response, justify the degree of accuracy used in your final answers and evaluate whether your results make sense given the typical dimensions of a car's rear windshield.

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