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The area of the semicircle is 25.133 cm².

Area of a Semicircle

[tex]\rm{Area\ of\ semicircle = \dfrac{Area\ of\ Circle}{2}[/tex]

[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times r^2}{2}[/tex]

Given to us,

diameter, d = 8 cm,

radius, r = [tex]\dfrac{diamter}{2} = \dfrac{8}{2} = 4\ cm[/tex]

Area of a Semicircle

[tex]\rm{Area\ of\ semicircle = \dfrac{Area\ of\ Circle}{2}[/tex]

[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times r^2}{2}[/tex]

[tex]\rm{Area\ of\ semicircle = \dfrac{\pi \times 4^2}{2} = \dfrac{\pi \times 4 \times 4}{2}=8\pi\ cm^2[/tex]

Therefore, the area of the semicircle is 8π cm² = 25.133 cm².

Hence, the area of the semicircle is 25.133 cm².

Learn more about Semicircle:

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The area of a semicircle with diameter 8cm is; 25.14cm²

Area of a semicircle

The area of a circle is given by the formula;

Area = πr²

Therefore, Area of a semicircle is;

  • Area = πr²/2.

  • Since, diameter, d = 8;

  • Radius, r = 8/2 = 4cm.

  • Area = π(4)²/2

  • Area = 25.14cm²

Read more on area of a semicircle;

https://brainly.com/question/19581549

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