Question

find the area of the semicircle. either enter an exact answer in terms of \\(\pi\\) or use 3.14 for \\(\pi\\) and enter your answer as a decimal. \\(\square\\) units\\(^2\\) show calculator

Explanation:

Step1: Recall semicircle area formula

The area of a semicircle is half the area of a full circle, so the formula is $\frac{1}{2} \pi r^2$, where $r$ is the radius.

Step2: Identify the radius

The given radius $r = 2$.

Step3: Substitute $r$ into the formula

$\text{Area} = \frac{1}{2} \pi (2)^2$

Step4: Calculate the exact value

$\frac{1}{2} \pi \times 4 = 2\pi$

Step5: Calculate the decimal value

Using $\pi = 3.14$, $2 \times 3.14 = 6.28$

Answer:

Exact answer: $2\pi$ units$^2$
Decimal answer: $6.28$ units$^2$