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A car has two wipers which do not overlap. Each wiper has blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades [Use π = 227] - Mathematics

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प्रश्न

A car has two wipers which do not overlap. Each wiper has blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades [Use π  = `22/7`]

एक शब्द/वाक्यांश उत्तर
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उत्तर

It can be observed from the figure that each blade of wiper will sweep an area of a sector of 115° in a circle of 25 cm radius.

Area of such sector = `115^@/360^@ xx pi xx (25)^2`

`= 23/72 xx 22/7 xx 25 xx 25`

`= 158125/252  "cm"^2`

Area swept by 2 blades = `2xx 158125/252`

`= 158125/126  "cm"^2`

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अध्याय 12: Areas Related to Circles - Exercise 12.2 [पृष्ठ २३१]

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एनसीईआरटी Mathematics [English] Class 10
अध्याय 12 Areas Related to Circles
Exercise 12.2 | Q 11 | पृष्ठ २३१
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