Answer to Question #158155 in Geometry for Bryell

Question #158155

The circumferences of two circles are 3 m. and 9πm. What is the ratio of the areas of the circle?


1
Expert's answer
2021-01-27T09:48:03-0500

If the circumferences of two circles are 3 m and 9πm, then their radiuses are 1.5/π and 4.5 m (r=c/2πr = c/2\pi ).

The ratio of the areas of the circle is:

(1.5/π)24.52=19π2\frac{(1.5/π)^2}{4.5^2} = \frac{1}{9π^2}.


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