Question

diego measured the diameter and circumference of several circular objects and recorded his measurements in the table. one of his measurements is inaccurate. which measurement is it? explain how you know.

Explanation:

Step1: Calculate the ratio of circumference to diameter for each object

For the half - dollar coin: $\frac{10}{3}\approx3.33$
For the flying disc: $\frac{28}{23}\approx1.22$
For the jar lid: $\frac{25}{8} = 3.125$
For the flower pot: $\frac{48}{15}=3.2$

Step2: Recall the formula for the circumference of a circle

The formula for the circumference of a circle is $C=\pi d$, where $C$ is the circumference and $d$ is the diameter. So, $\frac{C}{d}=\pi\approx3.14$

Answer:

The measurement of the flying disc is inaccurate. Because for a circle, the ratio of circumference to diameter is approximately $\pi\approx3.14$. The ratio for the flying disc ($\frac{28}{23}\approx1.22$) is much different from $\pi$, while the ratios for the half - dollar coin ($\frac{10}{3}\approx3.33$), jar lid ($\frac{25}{8} = 3.125$) and flower pot ($\frac{48}{15}=3.2$) are relatively close to $\pi$.