Respuesta :

Answer:

78.5 ft²

Step-by-step explanation:

The area of a circle is given by

Area = πr²

where r is the radius = given as 5 ft

π = 3.14

substituting the values into the equation, we get

Area

= πr²

= (3.14) (5²)

= 78.5 ft²

Answer:

Solution :

Here, we have given that the radius of circle is 5 ft.

So, finding the area of circle by substituting the values in the formula :

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

[tex]\longrightarrow{\frak{Area_{(Circle)} = 3.14 \times {(5)}^{2}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314}{100} \times {(5 \times 5)}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314}{100} \times {(25)}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314}{100} \times 25}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{314 \times 25}{100}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = \dfrac{7850}{100}}}[/tex]

[tex]\longrightarrow{\frak{Area_{(Circle)} = 78.50 \: {ft}^{2} }}[/tex]

[tex]\star \: {\underline{\boxed{\sf{\purple{Area_{(Circle)} = 78.50 \: {ft}^{2}}}}}}[/tex]

Hence, the area of circle is 70.50 ft².

[tex]\rule{300}{1.5}[/tex]

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