# Explain for me if the radius of a circle is

Explain for me if the radius of a circle is twice the radius of another circle, then find the ratio of the areas of the larger circle to the smaller one with explanation.
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tabuordy
Step 1
Let the radius of another circle $=r$
so according to the question
radius of a circle $=2r$
Step 2
area of another circle $A=\pi {r}^{2}$
area of a circle $=\pi {\left(2r\right)}^{2}$
$=4\pi {r}^{2}$
ratio of the areas of circles
$\frac{4\pi {r}^{2}}{\pi {r}^{2}}=\frac{4}{1}$
the ratio of the areas $=4⋮1$