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What is the area of the partial circle with a radius of 8 cm? Use 3. 14 for pi.

Sagot :

  • Radius=r=8cm

[tex]\\ \tt\hookrightarrow Area=\pi r^2[/tex]

[tex]\\ \tt\hookrightarrow Area=\pi 8^2[/tex]

[tex]\\ \tt\hookrightarrow Area=64\pi[/tex]

[tex]\\ \tt\hookrightarrow Area=64(3.14)[/tex]

[tex]\\ \tt\hookrightarrow Area=200.96cm^2[/tex]

Answer:

The area of circle is 200.96 cm²

Step-by-step explanation:

Here's the required formula to find the area of partial circle :

[tex]\longrightarrow{\pmb{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]

  • π = 3.14
  • r = radius

Substituting all the given values in the formula to find the area of partial circle :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14{(8)}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14{(8 \times 8)}}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14(64)}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times 64}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} \approx 200.96}}} \\ \\ \qquad\star{\purple{\underline{\boxed{\sf{Area_{(Circle)} \approx 200.96 \: {cm}^{2}}}}}}\end{gathered}[/tex]

Hence, the area of circle is 200.96 cm².

[tex]\rule{300}{2.5}[/tex]