the radius of a circle in increasing at the rate of 0.7cm/s . what is the rate of increase of it's circumference
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Answered by
17
Answer:
Since the radius of circle increase by the rate of 0.7 cm / sec.. then the rate of circumference will increase by rate = 2 × π x rate of Radius = 2 x 3.14 x 0.7 = 4.398cm/ sec
could be explained more complicated
circumference = C = 2π x R
differentiating with respect to time.. ( another term for "rate of")
dc/dt = d ( 2πr)/ dt
dc/dt = 2π x (dr/dt) constant = 2Π
= 2 x 3.14 x 0.7 dr/dt = 0.7
= 4.398
Answered by
2
Answer:
Let r be the radius and C the circumference of the circle. Then, C=2πr
It is given that
dt
dr
=0.7cm/sec.
Now, C=2πr⇒
dt
dC
=2π
dt
dr
⇒
dt
dC
=2π×0.7cm/sec=1.4πcm/sec
Step-by-step explanation:
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