Question

The pie chart shows four different modes of transport to school for a group of students. Calculate the percentage of students who go to school by bus.

• A. $13.5\%$
• B. $34.7\%$
• C. $51.3\%$
• D. $40.3\%$

Answer 1

The correct option is C $51.3\%$

The arc length of a sector, in degrees, is equal to the central angle. The total number of degrees of a circle is ${360}^o.$ Therefore, we can use the Central angle which represents bus group is ${185}^o$

Now, proportionating the given angle to calculate the percentage.

$\frac{{185}^o}{{360}^o}=\frac{x}{100}$

$x=\frac{185\times 100}{360}$

$\therefore$ $x=51.39\%$

$\therefore$ The percentage of students who go to school by bus is $51.39\%$