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11. find the area of the semicircular region. then find the approximate…

Question

  1. find the area of the semicircular region. then find the approximate area by using 3.14 for $pi$.

Explanation:

Step1: Identify the radius

From the grid, the straight side (diameter) of the semicircle spans 8 units, so the radius $r = \frac{8}{2} = 4$ units.

Step2: Use semicircle area formula

The area of a full circle is $\pi r^2$, so a semicircle is $\frac{1}{2} \pi r^2$. Substitute $r=4$ and $\pi=3.14$:
$\frac{1}{2} \times 3.14 \times 4^2$

Step3: Calculate the value

First compute $4^2 = 16$, then $\frac{1}{2} \times 3.14 \times 16 = 3.14 \times 8$

Answer:

25.12 square units