Question

$900$ men volunteered for joining the armed force. Pie Graph represents the proportion of men in different armed services. Study the Pie Graph and answer the following questions
i) Find how many men volunteered for each service?
ii) What percentage of the men volunteered to join navy?

Answer 1

$\left(i\right)$ Number of men joining Army force

$=\frac{\text{central,angle,of,joining, Army, force}}{{360}^{\circ }}\times \text{men,in,Armed,force}=\frac{{150}^{\circ }}{{360}^{\circ }}\times 900=375$

Number of men joining Air force

$=\frac{\text{central,angle,of,joining, Air, force}}{{360}^{\circ }}\times \text{men,in,Armed,force}=\frac{{100}^{\circ }}{{360}^{\circ }}\times 900=250$

Number of men joining Navy force

$=\frac{\text{central,angle,of,joining,Navy, force}}{{360}^{\circ }}\times \text{men,in,Armed,force}=\frac{{60}^{\circ }}{{360}^{\circ }}\times 900=150$

Number of men joining Marine force

$=\frac{\text{central,angle,of,joining,Marine , force}}{{360}^{\circ }}\times \text{men,in,Armed,force}=\frac{{50}^{\circ }}{{360}^{\circ }}\times 900=125$

$\left(ii\right)$

Percent of the men volunteered to join Navy force

$=\frac{\text{central,angle,of,joining,Navy , force}}{{360}^{\circ }}\times \text{men,in,Navy ,force}=\frac{{60}^{\circ }}{{360}^{\circ }}\times 100=16.67\%$