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Q: How do you get area of sector without given radius?

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That will depend on the length of its arc which has not been given

That will depend on the length or angle of the arc which has not been given

You cannot. The angle of the sector MUST be given, although that might be implicitly rather than explicitly.

if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector

the area of a sector = (angle)/360 x PI x radius x radius pi r squared

Find the area of the shaded sector. radius of 3 ...A+ = 7.07

The answer depends on the formula for what: the radius, circumference, length of an arc, area, area of sector, area of segment: each one has a different formula.

The area of the shaded sector is: 245.7 square units.

It depends on what information you have: the radius and the area of the sector or the length of the arc.

The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.

If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)

19.625 units squared

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