Question

The figure shown is a semicircle. Find its area
Use 3.14 for π, and round your solution to 2
decimal places, if necessary.
12cm

Answer 1

Answer:

$226.08 \, \textsf{cm}^2$

Step-by-step explanation:

The formula for the area ($A$) of a semicircle is given by:

$\Large\boxed{\boxed{ A = \dfrac{1}{2} \pi r^2}}$

where,

• π is constant which is approximately equal to 3.14, and
• r is radius

Given that the radius ($r$) of the semicircle is 12 cm, we can substitute this value into the formula:

$A = \dfrac{1}{2} \times 3.14 \times (12)^2$

$A = \dfrac{1}{2} \times 3.14 \times 144$

$A = 226.08 \textsf{ (in 2 decimal places)}$

So, the area of the semicircle is:

$\Large\boxed{\boxed{226.08 \, \textsf{cm}^2}}$.

Answer 2

Answer:

226.08 cm²

Step-by-step explanation:

The area of a semicircle is half the area of a circle.

Given that the formula for the area of a circle with radius r is πr², then the formula for the area of a semicircle is half this:

$\textsf{Area of a semicircle}=\dfrac{\pi r^2}{2}$

To find the area of the semicircle, given a radius of 12 cm and using π = 3.14, we can substitute r = 12 and π = 3.14 into the area equation:

$\textsf{Area}=\dfrac{3.14 \cdot 12^2}{2}$

Solve:

$\begin{aligned}\textsf{Area}&=\dfrac{3.14 \cdot 12^2}{2}\\\\&=\dfrac{3.14 \cdot 144}{2}\\\\&=\dfrac{452.16}{2}\\\\&=226.08\; \sf cm^2\end{aligned}$

Therefore, the area of the semicircle is:

$\Large\boxed{\boxed{226.08\; \sf cm^2}}$