Question

If you were to show the followinginformation in a circle graph, howmany degrees would each sector be?C= 39 people with contactsG= 25 people with glassesN= 32 people with neither contacts or glasses

Answer 1

Step-by-step explanation

For the given question

We are asked to determine the degrees for each of the sectors

We have that

`\begin{gathered} C=39\text{ people with contacts} \\ G=25\text{ people with glasses} \\ N=32\text{ people with neither contacts or glasses} \end{gathered}`

We can get the answer using the fact that the sum of angles in a circle is 360 degrees

`\begin{gathered} So\text{ that} \\ C=(C)/(C+G+N)*360^0 \\ \\ C=(39)/(39+25+32)*360^0 \\ \\ C=146.25^0 \end{gathered}`

Also

`\begin{gathered} G=(C)/(C+G+N)*360^0 \\ \\ G=(25)/(39+25+32)*360^0 \\ \\ G=93.75^0 \end{gathered}`

Finally

`\begin{gathered} N=(N)/(C+G+N)*360^0 \\ \\ N=(32)/(39+25+32)*360^0 \\ \\ N=120^0 \end{gathered}`

Therefore, we will have our answer as an option B