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Suppose the radius of the circle is r units and the sector subtends an agle of x radians at the centre of the circle. Then

Area = 0.5*r2*x square units.

If x is measured in degrees, this becomes

Area = pi*r2*x/360 square units.

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Q: What is the area of the sector of a circle?
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Area of a part of circle?

Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)


A circle has an area of 24 m What is the area of a 45 sector of this circle?

Divide the angle sector by 360 and multiply it by 24 square meters. The area is equal to 3 square meters.


What is the area of a sector of a circle with central angle is 18.0 and radius is 5 inches?

The area of the whole circle is pi*r2 = 25*pi To go any further, you need to assume that the central angle is given in degrees. If the sector is 18.0 degrees out of a circle of 360 degrees so the sector represents 18/360 = 1/20 of the whole circle. The area of the sector, therefore, is 1/20 of the area of the whole circle = 25*pi/20 = 5*pi/4 or 1.25*pi = 12.566 sq inches.


What is the area of the shaded sector if the circle has a radius of 8 and the central angle is 100 degrees?

Assuming the shaded sector has the angle of 100o (without seeing the diagram, it could be the other sector, ie the one with an angle of 260o): The sector is 1000 ÷ 360o = 5/18 of the circle. Thus its area is 5/18 that of the circle: area = 5/18 x π x 82 ~= 55.9 units2


What is the area enclosed by a chord of a circle?

The area enclosed by a chord is equal to the area enclosed by a segment minus the area enclosed by the triangle with the same corners as the segment. To visualise it, draw a circle and put a chord on it. Label the chord AB and the centre of the circle C. The area of sector AB equal to the area of sector ABC minus the area of triangle ABC.

Related questions

To find the area of a sector you multiply the area of the circle by the measure of the arc determined by the sector?

Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o


The area of a sector is the area of the circle multiplied by the fraction of the circle covered by that sector?

The area of a sector is the area of the circle multiplied by the fraction of the circle covered by that sector. This is a true statement and correct formula.


Is the area of a sector the area of the circle multiplied by the fraction of the circle covered by that sector?

true


A circle has an area of 30 in What is the area of a 60 sector of this circle?

Divide the area of the sector by 360 and multiply it to the area. The area of the sector is 5 square inches.


What is the area of a circle if the area of its sector is 49?

The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)


To find the area of a sector you multiply the area of the circle by the fraction of the circle covered by that sector?

That would certainly do it.


Find the area of the sector when the sector measures 10 degrees and the diameter of the circle is 12?

For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.


Area enclosed within the central angle of a circle and the circle?

Area of a sector of a circle.


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

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


Portion of the area of a circle is called?

Portion of the area of a circle is called a sector.


Does the area of a sector depend pi?

The area sector of a circle needs pi to work it out.


Area of a part of circle?

Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)