Question #156561

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


1
Expert's answer
2021-01-21T00:21:16-0500

Circumferences: C1=2πr1,  C2=2πr2.C_1=2\pi r_1,\;C_2=2\pi r_2.

r2r1=C2C1=93=3.\frac{r_2}{r_1}=\frac{C_2}{C_1}=\frac{9}{3}=3.

Areas: A1=πr12,  A2=πr22.A_1=\pi r_1^2,\;A_2=\pi r_2^2.

A2A1=r22r12=32=9.\frac{A_2}{A_1}=\frac{r_2^2}{r_1^2}=3^2=9.


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