Question

The following pie chart represents the expenses of Jack on various items.
Find the central angle made by the rent sector?

• A. ${36}^{\circ }$
• B. ${72}^{\circ }$
• C. ${60}^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is B ${72}^{\circ }$

Percentage of the rent sector out of the total sectors $=20\%$

In a pie chart, the total angle at the centre of the circle is ${360}^{\circ }.$

$\therefore$ Central angle made by the rent sector $=20\%$ of ${360}^{\circ }$
$=20\%\times {360}^{\circ }$
$=\frac{20}{100}\times {360}^{\circ }$
$=\frac{1}{5}\times {360}^{\circ }$
$={72}^{\circ }$
Option (b.) is the correct choice.