Question

A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of ${45}^{\circ }$. What is the area of each slice of pizza(in square inches)?

• A. 16.25
• B. 19.25
• C. 18.25
• D. 17.25
• E. None of the above

Answer 1

The correct option is B 19.25

$D=14$
$R=\frac{D}{2}=\frac{14}{2}=7$
Area of each slice of pizza $=\pi r^2\frac{\theta }{{360}^{\circ }}$
$=\frac{22}{7}\times 7\times 7\times \left(\frac{45}{360}\right)$
$=19.25$