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

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Well a circle has 360 degrees so a sector of 90 degrees has an area equal to 90/360 (or 1/4) of a circle with the equivalent radius. The area of a circle is defined as PI*Radius^2 so the area of a 90 degree sector will be 1/4*PI*Radius^2. The area will be 1/4*3.14*10^2 or 78.5 in^2.

If the circumference or diameter is given then you can find the radius or simply measure the distance from the centre of the circle to the circumference.

It depends on what else is known about the sector: length of arc, area or some other measure.

For A+ it's 20

the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi) the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi)

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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.

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

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

The area of a sector which subtends an angle of x degrees at the centre is given byA = pi*r^2*x/360so r^2 = 360*A/(pi*x) and then r = sqrt{360*A/(pi*x)}

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