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Luv2Teach

Answer:

Step-by-step explanation:

If the diameter of the semicircle is 6, then its radius is 3. The formula we use for this is the area of a circle divided in half, or:

[tex]A=\frac{\pi r^2}{2}[/tex] using 3.14 for pi, as instructed.

[tex]A=\frac{(3.14)(3)^2}{2}[/tex] and

[tex]A=\frac{(3.14)(9)}{2}[/tex] and

[tex]A=\frac{28.26}{2}[/tex] so

A = 14.13 square cm

Rinkhals

We know that, Area of circle is given by : π × radius²

Semicircle is exactly half of a circle. So, Area of semicircle should be half of the area of a circle.

[tex]\implies \sf{Area \ of \ a \ Semicircle = \dfrac{\pi \times (radius)^2}{2}}[/tex]

Given : Diameter of the semicircle is 6 cm

We know that, Radius is half of the Diameter

So, Radius of the Semicircle : 3 cm

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{\pi \times (3)^2}{2}}[/tex]

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = \dfrac{3.14 \times 9}{2}}[/tex]

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = (3.14 \times 4.5)}[/tex]

[tex]\implies \sf{Area \ of \ the \ given \ Semicircle = 14.13 \ square \ centimeters}[/tex]

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