Question

Of 734 students, 442 are taking mathematics. What angle (in degrees) of a circle would show the percent of students taking mathematics? (Round your answer to the nearest whole degree.)

Answer 1

217°

Explanation:

The fraction of students taking math is 442/734

we need this same fraction of the 360 degrees in a circle

442/734 * 360 = 217°

Answer 2

We need to find the angle (rounded to the nearest whole degree) of a circle that would represent the percent of students taking mathematics.

Since a complete turn around the circle has 360º, we have the following proportion:

Number of students Angle

734 360º

442 x

Then, cross multiplying the above values, we obtain:

`\begin{gathered} 734x=442\cdot360\degree \\ \\ x=(442\cdot360\degree)/(734) \\ \\ x\cong217\degree \end{gathered}`

Answer: 217º