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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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Question

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`]

One Word/Term Answer
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Solution

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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Chapter 12: Areas Related to Circles - Exercise 12.2 [Page 231]

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NCERT Mathematics [English] Class 10
Chapter 12 Areas Related to Circles
Exercise 12.2 | Q 11 | Page 231
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