Question

calculating sector-to-circle ratios
what is the ratio of the sector area to the area of the entire circle?
○ $\frac{1}{5}$
○ $\frac{1}{2}$
○ 2
○ 4
circle with center n, radius = 4, central angle of sector lnm is $72^circ$

Explanation:

Step1: Identify sector and circle angles

The sector central angle is $72^\circ$, full circle is $360^\circ$.

Step2: Calculate the ratio

Divide sector angle by circle angle:
$\frac{72^\circ}{360^\circ} = \frac{1}{5}$

Answer:

$\frac{1}{5}$ (Option A: $\frac{1}{5}$)