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प्रश्न
In the given figure, a circle is inscribed in a trapezium of height 14 cm and lengths of parallel sides are equal to 25 cm and 40 cm. What is the area of the shaded region?
पर्याय
455 sq cm
154 sq cm
509 sq cm
301 sq cm
MCQ
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उत्तर
301 sq cm
Explanation:
Area of the shaded region = Area of the trapezium – area of the circle
Area of trapezium `=1/2 xx "height" xx "sum of parallel sides"`
`= 1/2 xx 14 xx (25 + 40) = 455 "sq cm"`
Area of the circle `= pi xx "r"^2= (22/7) ×7×7=154 "sq cm"`
Hence, area of the shaded region `= 455 - 154 = 301` sq cm
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