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jstyopin
22.06.2020 •
Mathematics
A marble dropped in still water will create circular ripples or waves. The radius of each circular wave will increase 4 centimeters per second. What is the circumference of the circle after t seconds?
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Ответ:
Circumference of the circle after t seconds =
= 25.12t
Step-by-step explanation:
Given
radius of each circular wave will increase 4
centimeters per second
In 1 second radius of circular wave = 4cm
in 1*t second radius of circular wave = 4*t cm
Thus, radius of circular wave after t second will be 4*t cm
We know that circumference of circle is given by =![2\pi r](/tpl/images/0691/7476/ba846.png)
where r is the radius of the circle
Thus, radius of circular wave after t second will be =
* radius of circular wave after t second = ![2\pi 4t = 8\pi t](/tpl/images/0691/7476/7a6d3.png)
taking
= 3.14
radius of circular wave after t second will be =![8*3.14*t= 25.12t](/tpl/images/0691/7476/baa43.png)
Thus, circumference of the circle after t seconds =
= 25.12t
Ответ:
Step-by-step explanation: