It depends on what information you have: the radius and the area of the sector or the length of the arc.
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For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
There are 360 degrees in a circle so it will be 1/3 of pi*62 square units
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
The area of the whole circle would have been π*62 But instead of 360 degrees for the whole circle, the sector measures only 140 degrees. That is to say, the sector is 140/360 of the whole circle. Area = π*62*140/360 = 43.9823 sq inches.