Respuesta :
Answer:
28.3 square inches
Step-by-step explanation:
Use the area of a circle to determine its area:
[tex]A=\pi r^2\\\\A=\pi(3)^2\\\\A=9\pi\\\\A=9(3.14)\\\\A=28.26\\\\A\approx28.3[/tex]
Therefore, the area of a circle with a radius of 3 inches is 28.3 square inches
Answer:
Area of circle = [tex]\boxed{\sf{28.3 \: {in}^{2}}}[/tex].
Step-by-step explanation:
Here's the required formula to find the area of circle :
[tex]\twoheadrightarrow{\pmb{\sf{A_{(Circle)} = \pi{r}^{2}}}}[/tex]
- A = Area
- π = 3.14
- r = radius
Substituting all the given values in the formula to find the area of circle :
[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14{(3)}^{2}}}}[/tex]
[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14{(3 \times 3)}}}}[/tex]
[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14{(9)}}}}[/tex]
[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 3.14 \times 9}}}[/tex]
[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} = 28.26}}}[/tex]
[tex]{\twoheadrightarrow{\sf{Area_{(Circle)} \approx 28.3}}}[/tex]
[tex]\star{\boxed{\sf{\red{Area_{(Circle)} \approx 28.3 \: {in}^{2}}}}}[/tex]
Hence, the area of circle is 28.3 in².
[tex]\rule{300}{2.5}[/tex]