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brilliants [131]
2 years ago
7

Please help with this question!! I need serious help!!

Mathematics
1 answer:
asambeis [7]2 years ago
5 0

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

The area multipled by 16:

16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2

The radius has increased fourfold, therefore:

C'=2\pi(4r)=4(2\pi r)=4C

The circumference is multipled by 4.

You can calculate the area and check the circumference:

r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2

Calculate the radius:

\pi r^2=2152.96\pi             <em>divide both sides by π</em>

r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in

Calculate the circumference of both circles:

r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in

r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in

\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C

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