The area of the shaded sector of a circle with central angle rst radians is 8π sq. unit
The shaded area of the circle is half of the whole circle. If we can get the area of the circle, we will halve it, to get the area of the shaded sector
Area of circle A =πr² where r is the radius of the circle.
From the picture, the radius of the circle is r= 4
The area of the shaded sector is half the area of the full circle.
Area of Shaded = πr²/2 = π4²/2= 16π/2= 8π = 25.13 sq. units.
The area of the shaded sector of the circle is 8π sq. units
The picture of the circle is attached below
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