Which equation can be used to determine the percent of the diagram that one section represents?

A circle divided into 10 equal parts.
StartFraction 1 Over 10 EndFraction = StartFraction 1 Over 100 EndFraction = 1 percent
StartFraction 1 Over 10 EndFraction = StartFraction 10 Over 100 EndFraction = 10 percent
StartFraction 1 Over 100 EndFraction = StartFraction 1 Over 10 EndFraction = 1 percent
StartFraction 1 Over 100 EndFraction = StartFraction 10 Over 10 EndFraction = 10 percent

1 answer

To determine the percent of the diagram that one section represents in a circle divided into 10 equal parts, you can start by recognizing that each section represents \( \frac{1}{10} \) of the whole circle.

To convert this fraction to a percentage, you can use the following equation:

\[ \text{Percent} = \left(\frac{\text{part}}{\text{whole}}\right) \times 100 \]

In this case, the part is \(1\) (one section) and the whole is \(10\) (the total number of sections), so:

\[ \text{Percent} = \left(\frac{1}{10}\right) \times 100 = 10% \]

Thus, the correct representation from your options is:

\[ \frac{1}{10} = \frac{10}{100} = 10% \]

So, the equation you would use to determine the percent that one section represents is: \[ \frac{1}{10} = \frac{10}{100} = 10% \]