The area of a sector is 0.5*r^2*theta square units where r is the radius measured in linear units and theta is the angle (measured in radians).
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Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.
area of sector = (angle at centre*area of circle)/360
It depends on what information you have: the radius and the area of the sector or the length of the arc.
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm