Chapter SH, Problem 15.2E

To determine

To survey the class to find out how the students go to school. Use the data to draw a circle graph.

Explanation of Solution

The following table is the survey of $130$ students that go to the school and they also tell their transportation method for going to school-

  

The total number of students is $130$ .

Now, calculate the angles with respect to the center as follows-

  $\begin{array}{l}\frac{35}{130}=\frac{w}{{360}^{\circ }}\\ w\approx {97}^{\circ }\\ \frac{12}{130}=\frac{x}{{360}^{\circ }}\\ x\approx {33}^{\circ }\\ \frac{58}{130}=\frac{y}{{360}^{\circ }}\\ y\approx {161}^{\circ }\\ \frac{25}{130}=\frac{z}{{360}^{\circ }}\\ z\approx {69}^{\circ }\end{array}$

Use compass to draw the angle-

  

Now, label each sector.