Respuesta :

Area of shaded region is 18π square unit.

Step-by-step explanation:

Given :- A circle with center O and radius 9 cm

To Find :- area of shaded region that is area of ABC

Solution : - BC = 9 cm

∠ABC = 80° = Ф

so, area of sector = πr²Ф / 360°

= (π×9×9×80) /360°

= 18π square unit

hence, area of shaded region is 18π square unit

Area of shaded region is equal to [tex]18\pi\,cm^2[/tex]

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii.

Area of sector [tex]=\frac{\theta}{360}\pi r^2[/tex]

Here, [tex]r[/tex] denotes radius of a circle.

Put [tex]r=9\,cm[/tex]

Put [tex]\theta =80^{\circ}[/tex]

So,

Area of sector [tex]=\frac{80}{360}\pi (9)^2[/tex]

                        [tex]=18\pi\,cm^2[/tex]

For more information:

https://brainly.com/question/7512468?referrer=searchResults

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