Answered

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Find the area.
A= [?] [tex]ft^{2}[/tex]
A= [tex]\pi r^{2}[/tex] Use [tex]\pi =3.14[/tex]​

Find The AreaA Texft2texA Texpi R2tex Use Texpi 314tex class=

Sagot :

Zenzieeidn

AREA OF A CIRCLE

Answer:

  • The area of the circle is approximately 153.86 ft².

Step-by-step explanation:

To find the area of a circle, use this formula:

  • A = πr²

Where:

  • A represents the area of a circle.
  • π mathematical constant with a value of approximately 3.14.
  • r is the radius, half of the diameter of a circle.

Let's start by evaluating the given circle. The circle has a diameter of 14 ft, but we need to find the radius. Remember, the radius is half of the diameter. So, to find the radius, we need to divide the diameter by 2.

  • 14 ÷ 2 = 7 ft.

Our given is now completed. What we need to do is to plug the radius we've calculated which is 7 ft into the formula for finding the area of a circle.

  • [tex]A = \pi r {}^{2} [/tex]

  • [tex]A = (3.14)(7 \: ft.) {}^{2} [/tex]

  • [tex]A = (3.14)( 49 \: ft {}^{2} )[/tex]

  • [tex]A = 153.86 \: ft {}^{2} [/tex]

Therefore, the area of the given circle is approximately 153.86 square feet.

MrChrisidn

[tex]\underline{\underline{\large{\red{\mathcal{✒GIVEN:}}}}}[/tex]

[tex]\bm{A= ?}[/tex] [tex]\bm{ft^{2}}[/tex]

[tex]\bm{A= \pi r^{2}}[/tex]

[tex]\rm{Use}[/tex] [tex]\bm{\pi =3.14}[/tex]

[tex]\underline{\underline{\large{\red{\mathcal{REQUIRED:}}}}}[/tex]

Find the area of the circle.

[tex]\underline{\underline{\large{\red{\mathcal{SOLUTION:}}}}}[/tex]

Use the formula to find the area of the circle:

[tex]\small{\boxed{ \bm{{ \red{ A= \pi {r}^{2} } } }} } \\ \tt Where; \\ \tt r = radius \\ \tt \pi = 3.14 \\ r = \tt \frac{14}{2} = 7ft \implies the \\ \tt \: radius \: of \: half \: diameter[/tex]

Substitute:

[tex]\tt{A=(3.14)( 7 {)}^{2} }[/tex]

[tex]\tt{A=(3.14)( 49)}[/tex]

Simplify:

[tex]\large{\boxed{\purple{\tt{A= 153.86ft^2}}}}[/tex]

Final Answer:

Hence, the area of the circle is [tex]\rm{A= 153.86ft^2}[/tex]

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