Respuesta :

Answer:

Area of the shaded sector

=

42.41

Step-by-step explanation:

there u go hope it helps uhh

In the given diagram, the area of the shaded sector is 1.5π cm² OR 4.71 cm²

Calculating Area of a Sector

From the question, we are to calculate the area of the shaded sector

The area of a sector can be calculated by using the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times \pi r^{2}[/tex]

Where θ is the central angle

and r is the radius of the circle

From the give information,

θ = 60°

r = 3 cm

∴ [tex]A = \frac{60 ^\circ}{360 ^\circ} \times \pi \times 3^{2}[/tex]

[tex]A = \frac{1}{6} \times 9 \pi[/tex]

A = 1.5π cm² OR 4.71 cm²

Hence, the area of the shaded sector is 1.5π cm² OR 4.71 cm²

Learn more on Calculating area of a sector here: https://brainly.com/question/23901294

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