Question

The following table shows the percentage of outlets opened by a book store in different cities.

City	A	B	C
Percentage	25%	60%	15%

Represent the above data by a pie chart.

• A.
• B.
• C.
• D. None of the above

Answer 1

The correct option is B

City	A	B	C
Percentage	25%	60%	15%

$\text{Central angle of the city A}=25\%\times {360}^{\circ }$
$=\frac{25}{100}\times {360}^{\circ }$
$=\frac{1}{4}\times {360}^{\circ }$
$={90}^{\circ }$

$\text{Central angle of the city B}=60\%\times {360}^{\circ }$
$=\frac{60}{100}\times {360}^{\circ }$
$=\frac{3}{5}\times {360}^{\circ }$
$=\frac{3}{5}\times 5\times {72}^{\circ }$
$=3\times {72}^{\circ }$
$={216}^{\circ }$

$\text{Central angle of the city C}=15\%\times {360}^{\circ }$
$=\frac{15}{100}\times {360}^{\circ }$
$=\frac{3}{20}\times {360}^{\circ }$
$=\frac{3}{20}\times 20\times {18}^{\circ }$
$=3\times {18}^{\circ }$
$={54}^{\circ }$

Hence, option (b.) is the correct choice.