Find the area of the circle. Use 3.14 or [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex] . Round your answer to the nearest hundredth, if necessary.

Find the area of the circle Use 314 or texfrac227tex for texpitex Round your answer to the nearest hundredth if necessary class=

Respuesta :

Answer:

63.59 ft²

Step-by-step explanation:

Area of circle

  • πr² or πd²/4 [because radius = diameter/2]
  • 3.14 x (9)² / 4
  • 3.14 x 81/4
  • 3.14 x 20.25
  • 63.59 ft² (nearest hundredth)

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

  • Given - a circle with diameter = 9 ft

  • To find - area of the given circle

Formula -

[tex]\qquad\quad\bold\pink{area \: of \: circle= \pi \: r {}^{2} }[/tex]

now , we observe that we're not provided with the radius of the circle ! hence , let's find the radius of the circle now ~

[tex]\qquad\quad{radius = \frac{diameter}{2} } \\ \\ \longrightarrow \: radius = \frac{9}{2} = 4.5 \: ft[/tex]

substituting the value of radius in the formula used to calculate area -

[tex]area = \pi \: r {}^{2} \\ \\ \longrightarrow \: \frac{22}{7} \times 4.5 \times 4.5 \\ \\ \longrightarrow \: \frac{445.5}{7} \\ \\ \longrightarrow \: 63.6 \: ft {}^{2} \: (approx.)[/tex]

hope helpful ~