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If the radius of a circle is multiplied by 4, then how many times larger is the circumference of the new circle?
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\[A_{\text{circle}}=\pi r^2\]
would it be 4
these are the given choices 2. 4 8 and pie
\[A_{\text{circle}_1}=\pi (r_1)^2\] \[A_{\text{circle}_2}=\pi (r_2)^2\] \[r_2=4r_1\]
so 4 would be correct
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ops looks like i have mis read the question sorry @alijahe
the question is asking us to compair the Circumference of the circles , not the areas.
\[C=2 \pi r\]\[C_1=2 \pi r_1\]\[C_2=2 \pi r_2\] \[r_2=4r_1\]
ohh ok
\[\frac{C_2}{ C_1}=\frac{2\pi r_2}{2 \pi r_1}=\frac{2\pi \times4 r_1}{2 \pi r_1}\]
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what do you get ?
4 after i complete all the work
that is correct.
thank you
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