Question

20 the circumferences of five different circles, in feet, are given below. 15.62, √97, 8, 4π, 10.45 which list shows the circumferences in order from greatest to least? (8.1a, 8.1b, 8.1f) f √97, 15.62, 4π, 10.45, 8 g 15.62, 4π, 10.45, √97, 8 h 8, √97, 10.45, 4π, 15.62 j 4π, 10.45, √97, 15.62, 8

Explanation:

Step1: Approximate $\sqrt{97}$

Since $9^2 = 81$ and $10^2=100$, $\sqrt{97}\approx 9.85$.

Step2: Approximate $4\pi$

We know that $\pi\approx3.14$, so $4\pi = 4\times3.14 = 12.56$.

Step3: Compare the values

We have the values: $15.62$, $\sqrt{97}\approx9.85$, $8$, $4\pi\approx12.56$, $10.45$.
Arranging from greatest to least: $15.62>4\pi > 10.45>\sqrt{97}>8$.

Answer:

G. $15.62, 4\pi, 10.\overline{45}, \sqrt{97}, 8$