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The Minute Hand of a Clock is 8 Cm Long. Find the Area Swept by the Minute Hand Between 8.30 A.M. and 9.05 A.M. - Mathematics

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Question

The minute hand of a clock is 8 cm long. Find the area swept by the minute hand between 8.30 a.m. and 9.05 a.m.

Sum

Solution

The time interval is 9.05 - 8.30 = 35 minutes

Area covered in one 60 minutes = π x r2  = `22/7xx8^2` =  201 cm2

Hence area swept in 35 minutes is given by
A = `201/60 xx 35 = 117 1/3`cm2.

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Chapter 20: Area and Perimeter of Plane Figures - Exercise 20 (C) [Page 262]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (C) | Q 18 | Page 262
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