find the area of the shape. either enter an exact answer in terms of π or use 3.14 for π and enter your…

Explanation:

Step1: Recall area - formula for a circle

The area formula for a full - circle is $A = \pi r^{2}$, where $r$ is the radius of the circle.

Step2: Identify the radius

From the figure, the radius of the quarter - circle $r = 2$.

Step3: Calculate the area of the quarter - circle

Since the given shape is a quarter - circle, its area $A_{quarter - circle}=\frac{1}{4}\pi r^{2}$. Substitute $r = 2$ into the formula: $A=\frac{1}{4}\pi\times(2)^{2}=\frac{1}{4}\pi\times4=\pi$. If we use $\pi = 3.14$, then $A = 3.14$.

Answer:

$\pi$ (or $3.14$)