Question

Each person in a community was asked, "What is your favorite type of pet?" The circle graph below summarizes their answers.

Answer 1

Explanation

From the diagram, we can deduce that:

• The angle sector of the cat is approximately 90°.

We know that the total angle in a circle is 360°. Hence, we have:

`(1)/(4)\text{ }of\text{ }360\degree=(1)/(4)*360\degree=90\degree`

Hence, the cat category was chosen by approximately one fourth of the community.

To determine the percentage of the community that chose other or cat, we have:

`\begin{gathered} The\text{ other category is slightly more than half the cat's category. } \\ Suppose\text{ we assume it's about half, then:} \\ Cat\text{ category = }90\degree \\ Other\text{ category }=(1)/(2)\text{ }of\text{ }90\degree=(1)/(2)*90\degree=45\degree \\ \\ Percentage=(90\degree+45\degree)/(360\degree)*100=37.5\% \end{gathered}`

Hence, the answer is approximately 40%.