

Finding rate of change
Ex 6.1, 1 Deleted for CBSE Board 2022 Exams
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Ex 6.1,6 Deleted for CBSE Board 2022 Exams You are here
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Misc 3 Important
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Finding rate of change
Last updated at May 6, 2021 by Teachoo
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. π π/π π = 0.7 cm/sec We need find rate of change of circumference of circle w. r. π‘ time i.e. we need to calculate π πͺ/π π We know that Circumference of circle = 2Οr Now, ππΆ/ππ‘ = (π(2ππ))/ππ‘ ππΆ/ππ‘ = 2Ο π π/π π ππΆ/ππ‘ = 2Ο Γ 0.7 ππΆ/ππ‘ = 1.4Ο (From (1): ππ/ππ‘ = 5 ) Since circumference is in cm & time is in sec ππΆ/ππ‘ = 1.4Ο cm/sec Hence, circumference of circle is increasing at the rate of 1.4Ο cm/sec