***PLZ HELP! WILL GIVE BRAINLIEST!!*** The face of a clock is a circle. The ratio of the​ area, in square​ centimeters, of the face of the clock to the​ circumference, in​ centimeters, of the face of a​ clock, [tex]A/C[/tex], is [tex]16/1[/tex]. Find the circumference of the face of the clock. Use 3.14 for [tex] \pi [/tex]. (Round to the nearest hundredth as needed)

Respuesta :

The area of a circle is given in terms of circumference by
.. A = C²/(4π)
Then the ratio A/C is
.. A/C = C/(4Ï€)
Substituting the given information, we have
.. 16 cm = C/(4Ï€)
.. C = (4Ï€)*16 cm = 64Ï€ cm
.. C ≈ 200.96 cm