Question

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answer 1

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

Answer 2

Area of shaded region is equal to $18\pi\,cm^2$

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 $=\frac{\theta}{360}\pi r^2$

Here, $r$ denotes radius of a circle.

Put $r=9\,cm$

Put $\theta =80^{\circ}$

So,

Area of sector $=\frac{80}{360}\pi (9)^2$

                        $=18\pi\,cm^2$

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