If a large circular pizza is divided into 5 equal sectors then the central angle of each sector is
If a large circular pizza is divided into 5 equal sectors then the central angle of each sector is
$60^{\circ}$
$90^{\circ}$
$45^{\circ}$
$72^{\circ}$
Solution
To determine the central angle of each sector when a circular pizza is divided into 5 equal sectors, we need to understand the concept of dividing a circle.
The total angle around a point, such as the center of a circle, is $360^{\circ}$. If the pizza is divided into 5 equal sectors, each sector will have the same central angle.
We can find the central angle of each sector by dividing the total angle of the circle by the number of sectors:
$
\text{Central angle of each sector} = \frac{360^{\circ}}{5}
$
Now, perform the division:
$
\frac{360^{\circ}}{5} = 72^{\circ}
$
Therefore, the central angle of each sector is $72^{\circ}$.
Thus, the correct option is D) $72^{\circ}$.