Question

A round pizza, with a 12.0 in diameter, is cut into 8 pie shaped pieces. What is the area of each slice (sector) of pizza?

Answer 1

`\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}\quad \begin{cases} d=diameter\\ r=radius\\ \theta =angle~in\\ \qquad degrees\\ -------\\ r=(d)/(2)=6\\ \theta =(360)/(8)=45 \end{cases}\implies A=\cfrac{\pi \cdot 45\cdot 6^2}{360}`