chazatplay04 chazatplay04
  • 15-04-2018
  • Mathematics
contestada

If the area of a circle measures 4π cm2, what is the circumference of the circle in terms of π?

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jdoe0001 jdoe0001
  • 15-04-2018
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ -----\\ A=4\pi \end{cases}\implies 4\pi =\pi r^2 \\\\\\ \cfrac{4\pi }{\pi }=r^2\implies 4=r^2\implies \sqrt{4}=r\implies \boxed{2=r} \\\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{2} \right)\implies C=4\pi [/tex]
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kuykendallashlee12
kuykendallashlee12 kuykendallashlee12
  • 27-03-2020

Answer:4π cm

Step-by-step explanation:

4π cm

A = πr2 →

r2 =  

A

π r =4π

π

r =  

4

r = 2

C = 2πr

C = 2π(2)

C = 4π

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