Respuesta :

Answer:

27π units²

Step-by-step explanation:

The area (A) of the shaded sector is calculated as

A = area of circle × fraction of circle

 =πr² ×

 = π × 9² ×

 = 81π ×

 = 27π units²

hope this helps:))

semsee45

Answer:

B: 27π units²

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

where:

  • [tex]\theta[/tex] is the angle
  • [tex]r[/tex] is the radius

Solution

Given:

  • [tex]\theta[/tex] = 120°
  • [tex]r[/tex] = 9

Substituting given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area of a sector of a circle }& =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\\ & = \dfrac13 \cdot \pi \cdot 81\\ & = 27 \pi\: \sf units^2\end{aligned}[/tex]

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