Ex 11.1, 11
A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades.
Radius = r = 25 cm
Sweeping angle = 115°
Total area cleaned by the two wipers
= 2 × Area cleaned by one wiper
= 2 × Area of sector with angle 115°
= 2 × 𝜃/360× 𝜋𝑟2
= 2 × 𝟏𝟏𝟓/𝟑𝟔𝟎×𝟐𝟐/𝟕×(𝟐𝟓)𝟐
= 158125/126 cm2
Hence ,
Area cleaned by both wiper = 𝟏𝟓𝟖𝟏𝟐𝟓/𝟏𝟐𝟔 cm2

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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