Last updated at May 6, 2021 by Teachoo

Transcript

Ex 6.1, 6 The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference? Let r be the radius of circle & C be the circumference of circle Given that Radius of a circle is increasing at the rate of 0.7 cm/sec i.e. ๐ ๐/๐ ๐ = 0.7 cm/sec We need find rate of change of circumference of circle w. r. ๐ก time i.e. we need to calculate ๐ ๐ช/๐ ๐ We know that Circumference of circle = 2ฯr Now, ๐๐ถ/๐๐ก = (๐(2๐๐))/๐๐ก ๐๐ถ/๐๐ก = 2ฯ ๐ ๐/๐ ๐ ๐๐ถ/๐๐ก = 2ฯ ร 0.7 ๐๐ถ/๐๐ก = 1.4ฯ (From (1): ๐๐/๐๐ก = 5 ) Since circumference is in cm & time is in sec ๐๐ถ/๐๐ก = 1.4ฯ cm/sec Hence, circumference of circle is increasing at the rate of 1.4ฯ cm/sec

Ex 6.1

Ex 6.1, 1
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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.